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Finding the Fourth Proportional to 10,325.28, 15,478 and 6,617.12

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Solution

The fourth proportional to 10,325.28, 15,478 and 6,617.12 is: 9,919.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,325.28 : 15,478 = 6,617.12 : x
  2. Step 2: Convert to fraction form
    10,325.28/15,478 = 6,617.12/x
  3. Step 3: Cross multiply
    10,325.28x = 15,478 × 6,617.12
  4. Step 4: Simplify right side
    10,325.28x = 102,419,783.36
  5. Step 5: Solve for x
    x = 102,419,783.36/10,325.28
  6. Step 6: Final answer
    x = 9,919.32

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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.