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Finding the Fourth Proportional to 8,702.89, 13,061.27 and 3,157.83

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Solution

The fourth proportional to 8,702.89, 13,061.27 and 3,157.83 is: 4,739.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.89 : 13,061.27 = 3,157.83 : x
  2. Step 2: Convert to fraction form
    8,702.89/13,061.27 = 3,157.83/x
  3. Step 3: Cross multiply
    8,702.89x = 13,061.27 × 3,157.83
  4. Step 4: Simplify right side
    8,702.89x = 41,245,189.15
  5. Step 5: Solve for x
    x = 41,245,189.15/8,702.89
  6. Step 6: Final answer
    x = 4,739.25

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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.