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Finding the Fourth Proportional to 11,642.44, 16,062.40 and 7,815.02

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Solution

The fourth proportional to 11,642.44, 16,062.40 and 7,815.02 is: 10,781.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.44 : 16,062.40 = 7,815.02 : x
  2. Step 2: Convert to fraction form
    11,642.44/16,062.40 = 7,815.02/x
  3. Step 3: Cross multiply
    11,642.44x = 16,062.40 × 7,815.02
  4. Step 4: Simplify right side
    11,642.44x = 125,527,896.94
  5. Step 5: Solve for x
    x = 125,527,896.94/11,642.44
  6. Step 6: Final answer
    x = 10,781.92

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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.