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Finding the Fourth Proportional to 10,620.46, 15,862.76 and 9,618.31

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Solution

The fourth proportional to 10,620.46, 15,862.76 and 9,618.31 is: 14,365.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,620.46 : 15,862.76 = 9,618.31 : x
  2. Step 2: Convert to fraction form
    10,620.46/15,862.76 = 9,618.31/x
  3. Step 3: Cross multiply
    10,620.46x = 15,862.76 × 9,618.31
  4. Step 4: Simplify right side
    10,620.46x = 152,572,943.14
  5. Step 5: Solve for x
    x = 152,572,943.14/10,620.46
  6. Step 6: Final answer
    x = 14,365.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.