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Finding the Fourth Proportional to 7,642.56, 11,465.28 and 2,448

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Solution

The fourth proportional to 7,642.56, 11,465.28 and 2,448 is: 3,672.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.56 : 11,465.28 = 2,448 : x
  2. Step 2: Convert to fraction form
    7,642.56/11,465.28 = 2,448/x
  3. Step 3: Cross multiply
    7,642.56x = 11,465.28 × 2,448
  4. Step 4: Simplify right side
    7,642.56x = 28,067,005.44
  5. Step 5: Solve for x
    x = 28,067,005.44/7,642.56
  6. Step 6: Final answer
    x = 3,672.46

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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.