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Finding the Fourth Proportional to 8,466, 12,680.40 and 4,766.16

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Solution

The fourth proportional to 8,466, 12,680.40 and 4,766.16 is: 7,138.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466 : 12,680.40 = 4,766.16 : x
  2. Step 2: Convert to fraction form
    8,466/12,680.40 = 4,766.16/x
  3. Step 3: Cross multiply
    8,466x = 12,680.40 × 4,766.16
  4. Step 4: Simplify right side
    8,466x = 60,436,815.26
  5. Step 5: Solve for x
    x = 60,436,815.26/8,466
  6. Step 6: Final answer
    x = 7,138.77

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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.