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Finding the Fourth Proportional to 8,466.85, 12,702.30 and 4,080.70

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Solution

The fourth proportional to 8,466.85, 12,702.30 and 4,080.70 is: 6,122.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466.85 : 12,702.30 = 4,080.70 : x
  2. Step 2: Convert to fraction form
    8,466.85/12,702.30 = 4,080.70/x
  3. Step 3: Cross multiply
    8,466.85x = 12,702.30 × 4,080.70
  4. Step 4: Simplify right side
    8,466.85x = 51,834,275.61
  5. Step 5: Solve for x
    x = 51,834,275.61/8,466.85
  6. Step 6: Final answer
    x = 6,122.03

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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.