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Finding the Fourth Proportional to 5,780.60, 7,978.46 and 3,654.78

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Solution

The fourth proportional to 5,780.60, 7,978.46 and 3,654.78 is: 5,044.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.60 : 7,978.46 = 3,654.78 : x
  2. Step 2: Convert to fraction form
    5,780.60/7,978.46 = 3,654.78/x
  3. Step 3: Cross multiply
    5,780.60x = 7,978.46 × 3,654.78
  4. Step 4: Simplify right side
    5,780.60x = 29,159,516.04
  5. Step 5: Solve for x
    x = 29,159,516.04/5,780.60
  6. Step 6: Final answer
    x = 5,044.38

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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.