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Finding the Fourth Proportional to 8,702.10, 13,049.71 and 3,153.80

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Solution

The fourth proportional to 8,702.10, 13,049.71 and 3,153.80 is: 4,729.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.10 : 13,049.71 = 3,153.80 : x
  2. Step 2: Convert to fraction form
    8,702.10/13,049.71 = 3,153.80/x
  3. Step 3: Cross multiply
    8,702.10x = 13,049.71 × 3,153.80
  4. Step 4: Simplify right side
    8,702.10x = 41,156,200.14
  5. Step 5: Solve for x
    x = 41,156,200.14/8,702.10
  6. Step 6: Final answer
    x = 4,729.46

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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.