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Finding the Fourth Proportional to 24,138.72, 36,208.13 and 10,287.72

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Solution

The fourth proportional to 24,138.72, 36,208.13 and 10,287.72 is: 15,431.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,138.72 : 36,208.13 = 10,287.72 : x
  2. Step 2: Convert to fraction form
    24,138.72/36,208.13 = 10,287.72/x
  3. Step 3: Cross multiply
    24,138.72x = 36,208.13 × 10,287.72
  4. Step 4: Simplify right side
    24,138.72x = 372,499,103.16
  5. Step 5: Solve for x
    x = 372,499,103.16/24,138.72
  6. Step 6: Final answer
    x = 15,431.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.