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Finding the Fourth Proportional to 18,513, 25,548.12 and 10,129.68

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Solution

The fourth proportional to 18,513, 25,548.12 and 10,129.68 is: 13,979.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,513 : 25,548.12 = 10,129.68 : x
  2. Step 2: Convert to fraction form
    18,513/25,548.12 = 10,129.68/x
  3. Step 3: Cross multiply
    18,513x = 25,548.12 × 10,129.68
  4. Step 4: Simplify right side
    18,513x = 258,794,280.20
  5. Step 5: Solve for x
    x = 258,794,280.20/18,513
  6. Step 6: Final answer
    x = 13,979.06

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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.