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Finding the Fourth Proportional to 5,425.86, 7,493.84 and 3,654.40

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Solution

The fourth proportional to 5,425.86, 7,493.84 and 3,654.40 is: 5,047.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,425.86 : 7,493.84 = 3,654.40 : x
  2. Step 2: Convert to fraction form
    5,425.86/7,493.84 = 3,654.40/x
  3. Step 3: Cross multiply
    5,425.86x = 7,493.84 × 3,654.40
  4. Step 4: Simplify right side
    5,425.86x = 27,385,488.90
  5. Step 5: Solve for x
    x = 27,385,488.90/5,425.86
  6. Step 6: Final answer
    x = 5,047.22

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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.