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Finding the Fourth Proportional to 18,029.12, 24,881.20 and 10,074.38

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Solution

The fourth proportional to 18,029.12, 24,881.20 and 10,074.38 is: 13,903.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,029.12 : 24,881.20 = 10,074.38 : x
  2. Step 2: Convert to fraction form
    18,029.12/24,881.20 = 10,074.38/x
  3. Step 3: Cross multiply
    18,029.12x = 24,881.20 × 10,074.38
  4. Step 4: Simplify right side
    18,029.12x = 250,662,663.66
  5. Step 5: Solve for x
    x = 250,662,663.66/18,029.12
  6. Step 6: Final answer
    x = 13,903.21

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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.