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Finding the Fourth Proportional to 12,902.71, 19,305.15 and 7,640.54

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Solution

The fourth proportional to 12,902.71, 19,305.15 and 7,640.54 is: 11,431.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.71 : 19,305.15 = 7,640.54 : x
  2. Step 2: Convert to fraction form
    12,902.71/19,305.15 = 7,640.54/x
  3. Step 3: Cross multiply
    12,902.71x = 19,305.15 × 7,640.54
  4. Step 4: Simplify right side
    12,902.71x = 147,501,869.57
  5. Step 5: Solve for x
    x = 147,501,869.57/12,902.71
  6. Step 6: Final answer
    x = 11,431.85

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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.