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Finding the Fourth Proportional to 13,842, 19,110.60 and 8,882.64

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Solution

The fourth proportional to 13,842, 19,110.60 and 8,882.64 is: 12,263.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842 : 19,110.60 = 8,882.64 : x
  2. Step 2: Convert to fraction form
    13,842/19,110.60 = 8,882.64/x
  3. Step 3: Cross multiply
    13,842x = 19,110.60 × 8,882.64
  4. Step 4: Simplify right side
    13,842x = 169,752,579.98
  5. Step 5: Solve for x
    x = 169,752,579.98/13,842
  6. Step 6: Final answer
    x = 12,263.59

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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.