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Finding the Fourth Proportional to 7,649.28, 11,471.52 and 2,454

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Solution

The fourth proportional to 7,649.28, 11,471.52 and 2,454 is: 3,680.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.28 : 11,471.52 = 2,454 : x
  2. Step 2: Convert to fraction form
    7,649.28/11,471.52 = 2,454/x
  3. Step 3: Cross multiply
    7,649.28x = 11,471.52 × 2,454
  4. Step 4: Simplify right side
    7,649.28x = 28,151,110.08
  5. Step 5: Solve for x
    x = 28,151,110.08/7,649.28
  6. Step 6: Final answer
    x = 3,680.23

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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.