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Finding the Fourth Proportional to 8,702.48, 12,000.34 and 5,165

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Solution

The fourth proportional to 8,702.48, 12,000.34 and 5,165 is: 7,122.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.48 : 12,000.34 = 5,165 : x
  2. Step 2: Convert to fraction form
    8,702.48/12,000.34 = 5,165/x
  3. Step 3: Cross multiply
    8,702.48x = 12,000.34 × 5,165
  4. Step 4: Simplify right side
    8,702.48x = 61,981,756.10
  5. Step 5: Solve for x
    x = 61,981,756.10/8,702.48
  6. Step 6: Final answer
    x = 7,122.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.