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Finding the Fourth Proportional to 11,406, 15,740.28 and 6,438

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Solution

The fourth proportional to 11,406, 15,740.28 and 6,438 is: 8,884.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,406 : 15,740.28 = 6,438 : x
  2. Step 2: Convert to fraction form
    11,406/15,740.28 = 6,438/x
  3. Step 3: Cross multiply
    11,406x = 15,740.28 × 6,438
  4. Step 4: Simplify right side
    11,406x = 101,335,922.64
  5. Step 5: Solve for x
    x = 101,335,922.64/11,406
  6. Step 6: Final answer
    x = 8,884.44

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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.