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Finding the Fourth Proportional to 8,581, 12,872.52 and 3,033.20

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Solution

The fourth proportional to 8,581, 12,872.52 and 3,033.20 is: 4,550.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,581 : 12,872.52 = 3,033.20 : x
  2. Step 2: Convert to fraction form
    8,581/12,872.52 = 3,033.20/x
  3. Step 3: Cross multiply
    8,581x = 12,872.52 × 3,033.20
  4. Step 4: Simplify right side
    8,581x = 39,044,927.66
  5. Step 5: Solve for x
    x = 39,044,927.66/8,581
  6. Step 6: Final answer
    x = 4,550.16

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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.