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Finding the Fourth Proportional to 8,463.72, 12,680.88 and 4,570.80

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Solution

The fourth proportional to 8,463.72, 12,680.88 and 4,570.80 is: 6,848.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463.72 : 12,680.88 = 4,570.80 : x
  2. Step 2: Convert to fraction form
    8,463.72/12,680.88 = 4,570.80/x
  3. Step 3: Cross multiply
    8,463.72x = 12,680.88 × 4,570.80
  4. Step 4: Simplify right side
    8,463.72x = 57,961,766.30
  5. Step 5: Solve for x
    x = 57,961,766.30/8,463.72
  6. Step 6: Final answer
    x = 6,848.26

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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.