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Finding the Fourth Proportional to 8,702.42, 13,053.01 and 3,154.73

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Solution

The fourth proportional to 8,702.42, 13,053.01 and 3,154.73 is: 4,731.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.42 : 13,053.01 = 3,154.73 : x
  2. Step 2: Convert to fraction form
    8,702.42/13,053.01 = 3,154.73/x
  3. Step 3: Cross multiply
    8,702.42x = 13,053.01 × 3,154.73
  4. Step 4: Simplify right side
    8,702.42x = 41,178,649.09
  5. Step 5: Solve for x
    x = 41,178,649.09/8,702.42
  6. Step 6: Final answer
    x = 4,731.86

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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.