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Finding the Fourth Proportional to 8,475.92, 12,702.84 and 4,084.40

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Solution

The fourth proportional to 8,475.92, 12,702.84 and 4,084.40 is: 6,121.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,475.92 : 12,702.84 = 4,084.40 : x
  2. Step 2: Convert to fraction form
    8,475.92/12,702.84 = 4,084.40/x
  3. Step 3: Cross multiply
    8,475.92x = 12,702.84 × 4,084.40
  4. Step 4: Simplify right side
    8,475.92x = 51,883,479.70
  5. Step 5: Solve for x
    x = 51,883,479.70/8,475.92
  6. Step 6: Final answer
    x = 6,121.28

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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.