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Finding the Fourth Proportional to 8,702.66, 13,070.46 and 5,438.66

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Solution

The fourth proportional to 8,702.66, 13,070.46 and 5,438.66 is: 8,168.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.66 : 13,070.46 = 5,438.66 : x
  2. Step 2: Convert to fraction form
    8,702.66/13,070.46 = 5,438.66/x
  3. Step 3: Cross multiply
    8,702.66x = 13,070.46 × 5,438.66
  4. Step 4: Simplify right side
    8,702.66x = 71,085,787.98
  5. Step 5: Solve for x
    x = 71,085,787.98/8,702.66
  6. Step 6: Final answer
    x = 8,168.28

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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.