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Finding the Fourth Proportional to 10,863.60, 14,992.74 and 6,385.11

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Solution

The fourth proportional to 10,863.60, 14,992.74 and 6,385.11 is: 8,812.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,863.60 : 14,992.74 = 6,385.11 : x
  2. Step 2: Convert to fraction form
    10,863.60/14,992.74 = 6,385.11/x
  3. Step 3: Cross multiply
    10,863.60x = 14,992.74 × 6,385.11
  4. Step 4: Simplify right side
    10,863.60x = 95,730,294.10
  5. Step 5: Solve for x
    x = 95,730,294.10/10,863.60
  6. Step 6: Final answer
    x = 8,812.02

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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.