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Finding the Fourth Proportional to 25,689.88, 38,525.10 and 10,099

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Solution

The fourth proportional to 25,689.88, 38,525.10 and 10,099 is: 15,144.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,689.88 : 38,525.10 = 10,099 : x
  2. Step 2: Convert to fraction form
    25,689.88/38,525.10 = 10,099/x
  3. Step 3: Cross multiply
    25,689.88x = 38,525.10 × 10,099
  4. Step 4: Simplify right side
    25,689.88x = 389,064,984.90
  5. Step 5: Solve for x
    x = 389,064,984.90/25,689.88
  6. Step 6: Final answer
    x = 15,144.68

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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.