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Finding the Fourth Proportional to 28,177, 42,258.65 and 9,452.18

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Solution

The fourth proportional to 28,177, 42,258.65 and 9,452.18 is: 14,175.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,177 : 42,258.65 = 9,452.18 : x
  2. Step 2: Convert to fraction form
    28,177/42,258.65 = 9,452.18/x
  3. Step 3: Cross multiply
    28,177x = 42,258.65 × 9,452.18
  4. Step 4: Simplify right side
    28,177x = 399,436,366.36
  5. Step 5: Solve for x
    x = 399,436,366.36/28,177
  6. Step 6: Final answer
    x = 14,175.97

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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.