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Finding the Fourth Proportional to 10,137, 13,988.52 and 5,661

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Solution

The fourth proportional to 10,137, 13,988.52 and 5,661 is: 7,811.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137 : 13,988.52 = 5,661 : x
  2. Step 2: Convert to fraction form
    10,137/13,988.52 = 5,661/x
  3. Step 3: Cross multiply
    10,137x = 13,988.52 × 5,661
  4. Step 4: Simplify right side
    10,137x = 79,189,011.72
  5. Step 5: Solve for x
    x = 79,189,011.72/10,137
  6. Step 6: Final answer
    x = 7,811.88

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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.