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Finding the Fourth Proportional to 12,872.60, 17,764.88 and 7,836.02

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Solution

The fourth proportional to 12,872.60, 17,764.88 and 7,836.02 is: 10,814.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,872.60 : 17,764.88 = 7,836.02 : x
  2. Step 2: Convert to fraction form
    12,872.60/17,764.88 = 7,836.02/x
  3. Step 3: Cross multiply
    12,872.60x = 17,764.88 × 7,836.02
  4. Step 4: Simplify right side
    12,872.60x = 139,205,954.98
  5. Step 5: Solve for x
    x = 139,205,954.98/12,872.60
  6. Step 6: Final answer
    x = 10,814.13

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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.