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Finding the Fourth Proportional to 7,236.50, 10,854.75 and 1,764.50

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Solution

The fourth proportional to 7,236.50, 10,854.75 and 1,764.50 is: 2,646.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,236.50 : 10,854.75 = 1,764.50 : x
  2. Step 2: Convert to fraction form
    7,236.50/10,854.75 = 1,764.50/x
  3. Step 3: Cross multiply
    7,236.50x = 10,854.75 × 1,764.50
  4. Step 4: Simplify right side
    7,236.50x = 19,153,206.38
  5. Step 5: Solve for x
    x = 19,153,206.38/7,236.50
  6. Step 6: Final answer
    x = 2,646.75

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