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Finding the Fourth Proportional to 10,302, 15,452.28 and 5,374.42

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Solution

The fourth proportional to 10,302, 15,452.28 and 5,374.42 is: 8,061.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302 : 15,452.28 = 5,374.42 : x
  2. Step 2: Convert to fraction form
    10,302/15,452.28 = 5,374.42/x
  3. Step 3: Cross multiply
    10,302x = 15,452.28 × 5,374.42
  4. Step 4: Simplify right side
    10,302x = 83,047,042.68
  5. Step 5: Solve for x
    x = 83,047,042.68/10,302
  6. Step 6: Final answer
    x = 8,061.25

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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.