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Finding the Fourth Proportional to 8,380.38, 11,564.08 and 5,023.12

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Solution

The fourth proportional to 8,380.38, 11,564.08 and 5,023.12 is: 6,931.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.38 : 11,564.08 = 5,023.12 : x
  2. Step 2: Convert to fraction form
    8,380.38/11,564.08 = 5,023.12/x
  3. Step 3: Cross multiply
    8,380.38x = 11,564.08 × 5,023.12
  4. Step 4: Simplify right side
    8,380.38x = 58,087,761.53
  5. Step 5: Solve for x
    x = 58,087,761.53/8,380.38
  6. Step 6: Final answer
    x = 6,931.40

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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.