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Finding the Fourth Proportional to 5,165.28, 7,748 and 4,902.72

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Solution

The fourth proportional to 5,165.28, 7,748 and 4,902.72 is: 7,354.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.28 : 7,748 = 4,902.72 : x
  2. Step 2: Convert to fraction form
    5,165.28/7,748 = 4,902.72/x
  3. Step 3: Cross multiply
    5,165.28x = 7,748 × 4,902.72
  4. Step 4: Simplify right side
    5,165.28x = 37,986,274.56
  5. Step 5: Solve for x
    x = 37,986,274.56/5,165.28
  6. Step 6: Final answer
    x = 7,354.16

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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.