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Finding the Fourth Proportional to 8,712.60, 13,072.08 and 2,869.20

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Solution

The fourth proportional to 8,712.60, 13,072.08 and 2,869.20 is: 4,304.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,712.60 : 13,072.08 = 2,869.20 : x
  2. Step 2: Convert to fraction form
    8,712.60/13,072.08 = 2,869.20/x
  3. Step 3: Cross multiply
    8,712.60x = 13,072.08 × 2,869.20
  4. Step 4: Simplify right side
    8,712.60x = 37,506,411.94
  5. Step 5: Solve for x
    x = 37,506,411.94/8,712.60
  6. Step 6: Final answer
    x = 4,304.85

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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.