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Finding the Fourth Proportional to 13,103, 19,666.68 and 6,086.78

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Solution

The fourth proportional to 13,103, 19,666.68 and 6,086.78 is: 9,135.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,103 : 19,666.68 = 6,086.78 : x
  2. Step 2: Convert to fraction form
    13,103/19,666.68 = 6,086.78/x
  3. Step 3: Cross multiply
    13,103x = 19,666.68 × 6,086.78
  4. Step 4: Simplify right side
    13,103x = 119,706,754.49
  5. Step 5: Solve for x
    x = 119,706,754.49/13,103
  6. Step 6: Final answer
    x = 9,135.83

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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.