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Finding the Fourth Proportional to 8,380.71, 11,565.36 and 4,654.71

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Solution

The fourth proportional to 8,380.71, 11,565.36 and 4,654.71 is: 6,423.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.71 : 11,565.36 = 4,654.71 : x
  2. Step 2: Convert to fraction form
    8,380.71/11,565.36 = 4,654.71/x
  3. Step 3: Cross multiply
    8,380.71x = 11,565.36 × 4,654.71
  4. Step 4: Simplify right side
    8,380.71x = 53,833,396.85
  5. Step 5: Solve for x
    x = 53,833,396.85/8,380.71
  6. Step 6: Final answer
    x = 6,423.49

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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.