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Finding the Fourth Proportional to 51,338.82, 70,838.94 and 28,677

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Solution

The fourth proportional to 51,338.82, 70,838.94 and 28,677 is: 39,569.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,338.82 : 70,838.94 = 28,677 : x
  2. Step 2: Convert to fraction form
    51,338.82/70,838.94 = 28,677/x
  3. Step 3: Cross multiply
    51,338.82x = 70,838.94 × 28,677
  4. Step 4: Simplify right side
    51,338.82x = 2,031,448,282.38
  5. Step 5: Solve for x
    x = 2,031,448,282.38/51,338.82
  6. Step 6: Final answer
    x = 39,569.44

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.