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Finding the Fourth Proportional to 11,411.28, 15,747.64 and 6,375.68

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Solution

The fourth proportional to 11,411.28, 15,747.64 and 6,375.68 is: 8,798.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411.28 : 15,747.64 = 6,375.68 : x
  2. Step 2: Convert to fraction form
    11,411.28/15,747.64 = 6,375.68/x
  3. Step 3: Cross multiply
    11,411.28x = 15,747.64 × 6,375.68
  4. Step 4: Simplify right side
    11,411.28x = 100,401,913.40
  5. Step 5: Solve for x
    x = 100,401,913.40/11,411.28
  6. Step 6: Final answer
    x = 8,798.48

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1.5x scale

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.