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Finding the Fourth Proportional to 18,507.68, 25,540.80 and 10,124

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Solution

The fourth proportional to 18,507.68, 25,540.80 and 10,124 is: 13,971.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,507.68 : 25,540.80 = 10,124 : x
  2. Step 2: Convert to fraction form
    18,507.68/25,540.80 = 10,124/x
  3. Step 3: Cross multiply
    18,507.68x = 25,540.80 × 10,124
  4. Step 4: Simplify right side
    18,507.68x = 258,575,059.20
  5. Step 5: Solve for x
    x = 258,575,059.20/18,507.68
  6. Step 6: Final answer
    x = 13,971.23

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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.