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Finding the Fourth Proportional to 8,785.78, 13,177.29 and 2,942.44

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Solution

The fourth proportional to 8,785.78, 13,177.29 and 2,942.44 is: 4,413.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,785.78 : 13,177.29 = 2,942.44 : x
  2. Step 2: Convert to fraction form
    8,785.78/13,177.29 = 2,942.44/x
  3. Step 3: Cross multiply
    8,785.78x = 13,177.29 × 2,942.44
  4. Step 4: Simplify right side
    8,785.78x = 38,773,319.30
  5. Step 5: Solve for x
    x = 38,773,319.30/8,785.78
  6. Step 6: Final answer
    x = 4,413.19

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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.