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Finding the Fourth Proportional to 15,862.65, 21,892.76 and 9,146.94

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Solution

The fourth proportional to 15,862.65, 21,892.76 and 9,146.94 is: 12,624.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,862.65 : 21,892.76 = 9,146.94 : x
  2. Step 2: Convert to fraction form
    15,862.65/21,892.76 = 9,146.94/x
  3. Step 3: Cross multiply
    15,862.65x = 21,892.76 × 9,146.94
  4. Step 4: Simplify right side
    15,862.65x = 200,251,766.04
  5. Step 5: Solve for x
    x = 200,251,766.04/15,862.65
  6. Step 6: Final answer
    x = 12,624.10

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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.