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Finding the Fourth Proportional to 5,630.68, 7,765.90 and 5,253.42

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Solution

The fourth proportional to 5,630.68, 7,765.90 and 5,253.42 is: 7,245.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.68 : 7,765.90 = 5,253.42 : x
  2. Step 2: Convert to fraction form
    5,630.68/7,765.90 = 5,253.42/x
  3. Step 3: Cross multiply
    5,630.68x = 7,765.90 × 5,253.42
  4. Step 4: Simplify right side
    5,630.68x = 40,797,534.38
  5. Step 5: Solve for x
    x = 40,797,534.38/5,630.68
  6. Step 6: Final answer
    x = 7,245.58

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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.