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Finding the Fourth Proportional to 10,283, 15,427.22 and 5,902

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Solution

The fourth proportional to 10,283, 15,427.22 and 5,902 is: 8,854.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283 : 15,427.22 = 5,902 : x
  2. Step 2: Convert to fraction form
    10,283/15,427.22 = 5,902/x
  3. Step 3: Cross multiply
    10,283x = 15,427.22 × 5,902
  4. Step 4: Simplify right side
    10,283x = 91,051,452.44
  5. Step 5: Solve for x
    x = 91,051,452.44/10,283
  6. Step 6: Final answer
    x = 8,854.56

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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.