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Finding the Fourth Proportional to 8,491.74, 12,736.80 and 2,648.40

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Solution

The fourth proportional to 8,491.74, 12,736.80 and 2,648.40 is: 3,972.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,491.74 : 12,736.80 = 2,648.40 : x
  2. Step 2: Convert to fraction form
    8,491.74/12,736.80 = 2,648.40/x
  3. Step 3: Cross multiply
    8,491.74x = 12,736.80 × 2,648.40
  4. Step 4: Simplify right side
    8,491.74x = 33,732,141.12
  5. Step 5: Solve for x
    x = 33,732,141.12/8,491.74
  6. Step 6: Final answer
    x = 3,972.35

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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.