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Finding the Fourth Proportional to 8,638.34, 12,957.53 and 2,634.47

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Solution

The fourth proportional to 8,638.34, 12,957.53 and 2,634.47 is: 3,951.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,638.34 : 12,957.53 = 2,634.47 : x
  2. Step 2: Convert to fraction form
    8,638.34/12,957.53 = 2,634.47/x
  3. Step 3: Cross multiply
    8,638.34x = 12,957.53 × 2,634.47
  4. Step 4: Simplify right side
    8,638.34x = 34,136,146.10
  5. Step 5: Solve for x
    x = 34,136,146.10/8,638.34
  6. Step 6: Final answer
    x = 3,951.70

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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.