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Finding the Fourth Proportional to 10,773.68, 14,862.92 and 7,185.20

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Solution

The fourth proportional to 10,773.68, 14,862.92 and 7,185.20 is: 9,912.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,773.68 : 14,862.92 = 7,185.20 : x
  2. Step 2: Convert to fraction form
    10,773.68/14,862.92 = 7,185.20/x
  3. Step 3: Cross multiply
    10,773.68x = 14,862.92 × 7,185.20
  4. Step 4: Simplify right side
    10,773.68x = 106,793,052.78
  5. Step 5: Solve for x
    x = 106,793,052.78/10,773.68
  6. Step 6: Final answer
    x = 9,912.40

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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.