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Finding the Fourth Proportional to 8,665.47, 13,000.51 and 2,742.47

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Solution

The fourth proportional to 8,665.47, 13,000.51 and 2,742.47 is: 4,114.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,665.47 : 13,000.51 = 2,742.47 : x
  2. Step 2: Convert to fraction form
    8,665.47/13,000.51 = 2,742.47/x
  3. Step 3: Cross multiply
    8,665.47x = 13,000.51 × 2,742.47
  4. Step 4: Simplify right side
    8,665.47x = 35,653,508.66
  5. Step 5: Solve for x
    x = 35,653,508.66/8,665.47
  6. Step 6: Final answer
    x = 4,114.43

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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.