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Finding the Fourth Proportional to 8,765.21, 13,147.92 and 5,065.20

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Solution

The fourth proportional to 8,765.21, 13,147.92 and 5,065.20 is: 7,597.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,765.21 : 13,147.92 = 5,065.20 : x
  2. Step 2: Convert to fraction form
    8,765.21/13,147.92 = 5,065.20/x
  3. Step 3: Cross multiply
    8,765.21x = 13,147.92 × 5,065.20
  4. Step 4: Simplify right side
    8,765.21x = 66,596,844.38
  5. Step 5: Solve for x
    x = 66,596,844.38/8,765.21
  6. Step 6: Final answer
    x = 7,597.86

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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.