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Finding the Fourth Proportional to 8,785.74, 13,171.16 and 3,851.64

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Solution

The fourth proportional to 8,785.74, 13,171.16 and 3,851.64 is: 5,774.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,785.74 : 13,171.16 = 3,851.64 : x
  2. Step 2: Convert to fraction form
    8,785.74/13,171.16 = 3,851.64/x
  3. Step 3: Cross multiply
    8,785.74x = 13,171.16 × 3,851.64
  4. Step 4: Simplify right side
    8,785.74x = 50,730,566.70
  5. Step 5: Solve for x
    x = 50,730,566.70/8,785.74
  6. Step 6: Final answer
    x = 5,774.19

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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.