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Finding the Fourth Proportional to 5,127, 7,691.04 and 2,353.20

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Solution

The fourth proportional to 5,127, 7,691.04 and 2,353.20 is: 3,530.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,127 : 7,691.04 = 2,353.20 : x
  2. Step 2: Convert to fraction form
    5,127/7,691.04 = 2,353.20/x
  3. Step 3: Cross multiply
    5,127x = 7,691.04 × 2,353.20
  4. Step 4: Simplify right side
    5,127x = 18,098,555.33
  5. Step 5: Solve for x
    x = 18,098,555.33/5,127
  6. Step 6: Final answer
    x = 3,530.05

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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.