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Finding the Fourth Proportional to 8,726, 12,042.04 and 4,747.20

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Solution

The fourth proportional to 8,726, 12,042.04 and 4,747.20 is: 6,551.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,726 : 12,042.04 = 4,747.20 : x
  2. Step 2: Convert to fraction form
    8,726/12,042.04 = 4,747.20/x
  3. Step 3: Cross multiply
    8,726x = 12,042.04 × 4,747.20
  4. Step 4: Simplify right side
    8,726x = 57,165,972.29
  5. Step 5: Solve for x
    x = 57,165,972.29/8,726
  6. Step 6: Final answer
    x = 6,551.22

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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.