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Finding the Fourth Proportional to 20,068.64, 30,103.92 and 9,689.12

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Solution

The fourth proportional to 20,068.64, 30,103.92 and 9,689.12 is: 14,534.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,068.64 : 30,103.92 = 9,689.12 : x
  2. Step 2: Convert to fraction form
    20,068.64/30,103.92 = 9,689.12/x
  3. Step 3: Cross multiply
    20,068.64x = 30,103.92 × 9,689.12
  4. Step 4: Simplify right side
    20,068.64x = 291,680,493.35
  5. Step 5: Solve for x
    x = 291,680,493.35/20,068.64
  6. Step 6: Final answer
    x = 14,534.14

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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.