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Finding the Fourth Proportional to 3,437.71, 5,156.56 and 972.33

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Solution

The fourth proportional to 3,437.71, 5,156.56 and 972.33 is: 1,458.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.71 : 5,156.56 = 972.33 : x
  2. Step 2: Convert to fraction form
    3,437.71/5,156.56 = 972.33/x
  3. Step 3: Cross multiply
    3,437.71x = 5,156.56 × 972.33
  4. Step 4: Simplify right side
    3,437.71x = 5,013,859.86
  5. Step 5: Solve for x
    x = 5,013,859.86/3,437.71
  6. Step 6: Final answer
    x = 1,458.49

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.