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Finding the Fourth Proportional to 10,115.12, 13,959.28 and 5,578

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Solution

The fourth proportional to 10,115.12, 13,959.28 and 5,578 is: 7,697.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,115.12 : 13,959.28 = 5,578 : x
  2. Step 2: Convert to fraction form
    10,115.12/13,959.28 = 5,578/x
  3. Step 3: Cross multiply
    10,115.12x = 13,959.28 × 5,578
  4. Step 4: Simplify right side
    10,115.12x = 77,864,863.84
  5. Step 5: Solve for x
    x = 77,864,863.84/10,115.12
  6. Step 6: Final answer
    x = 7,697.87

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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.