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Finding the Fourth Proportional to 4,742, 6,540.52 and 3,167.28

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Solution

The fourth proportional to 4,742, 6,540.52 and 3,167.28 is: 4,368.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742 : 6,540.52 = 3,167.28 : x
  2. Step 2: Convert to fraction form
    4,742/6,540.52 = 3,167.28/x
  3. Step 3: Cross multiply
    4,742x = 6,540.52 × 3,167.28
  4. Step 4: Simplify right side
    4,742x = 20,715,658.19
  5. Step 5: Solve for x
    x = 20,715,658.19/4,742
  6. Step 6: Final answer
    x = 4,368.55

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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.