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Finding the Fourth Proportional to 38,127, 57,199.14 and 13,503

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Solution

The fourth proportional to 38,127, 57,199.14 and 13,503 is: 20,257.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,127 : 57,199.14 = 13,503 : x
  2. Step 2: Convert to fraction form
    38,127/57,199.14 = 13,503/x
  3. Step 3: Cross multiply
    38,127x = 57,199.14 × 13,503
  4. Step 4: Simplify right side
    38,127x = 772,359,987.42
  5. Step 5: Solve for x
    x = 772,359,987.42/38,127
  6. Step 6: Final answer
    x = 20,257.56

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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.