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Finding the Fourth Proportional to 8,742, 12,064.08 and 5,016

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Solution

The fourth proportional to 8,742, 12,064.08 and 5,016 is: 6,922.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742 : 12,064.08 = 5,016 : x
  2. Step 2: Convert to fraction form
    8,742/12,064.08 = 5,016/x
  3. Step 3: Cross multiply
    8,742x = 12,064.08 × 5,016
  4. Step 4: Simplify right side
    8,742x = 60,513,425.28
  5. Step 5: Solve for x
    x = 60,513,425.28/8,742
  6. Step 6: Final answer
    x = 6,922.15

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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.