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Finding the Fourth Proportional to 5,765.52, 8,654.76 and 3,430.56

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Solution

The fourth proportional to 5,765.52, 8,654.76 and 3,430.56 is: 5,149.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.52 : 8,654.76 = 3,430.56 : x
  2. Step 2: Convert to fraction form
    5,765.52/8,654.76 = 3,430.56/x
  3. Step 3: Cross multiply
    5,765.52x = 8,654.76 × 3,430.56
  4. Step 4: Simplify right side
    5,765.52x = 29,690,673.47
  5. Step 5: Solve for x
    x = 29,690,673.47/5,765.52
  6. Step 6: Final answer
    x = 5,149.70

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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.