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Finding the Fourth Proportional to 8,752, 12,099.36 and 8,384.80

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Solution

The fourth proportional to 8,752, 12,099.36 and 8,384.80 is: 11,591.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,752 : 12,099.36 = 8,384.80 : x
  2. Step 2: Convert to fraction form
    8,752/12,099.36 = 8,384.80/x
  3. Step 3: Cross multiply
    8,752x = 12,099.36 × 8,384.80
  4. Step 4: Simplify right side
    8,752x = 101,450,713.73
  5. Step 5: Solve for x
    x = 101,450,713.73/8,752
  6. Step 6: Final answer
    x = 11,591.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.