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Finding the Fourth Proportional to 8,466.76, 12,698.10 and 2,542.40

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Solution

The fourth proportional to 8,466.76, 12,698.10 and 2,542.40 is: 3,812.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466.76 : 12,698.10 = 2,542.40 : x
  2. Step 2: Convert to fraction form
    8,466.76/12,698.10 = 2,542.40/x
  3. Step 3: Cross multiply
    8,466.76x = 12,698.10 × 2,542.40
  4. Step 4: Simplify right side
    8,466.76x = 32,283,649.44
  5. Step 5: Solve for x
    x = 32,283,649.44/8,466.76
  6. Step 6: Final answer
    x = 3,812.99

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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.