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Finding the Fourth Proportional to 8,702.30, 12,003.70 and 5,163

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Solution

The fourth proportional to 8,702.30, 12,003.70 and 5,163 is: 7,121.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.30 : 12,003.70 = 5,163 : x
  2. Step 2: Convert to fraction form
    8,702.30/12,003.70 = 5,163/x
  3. Step 3: Cross multiply
    8,702.30x = 12,003.70 × 5,163
  4. Step 4: Simplify right side
    8,702.30x = 61,975,103.10
  5. Step 5: Solve for x
    x = 61,975,103.10/8,702.30
  6. Step 6: Final answer
    x = 7,121.69

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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.