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Finding the Fourth Proportional to 8,689.76, 13,033.26 and 2,765.88

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Solution

The fourth proportional to 8,689.76, 13,033.26 and 2,765.88 is: 4,148.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,689.76 : 13,033.26 = 2,765.88 : x
  2. Step 2: Convert to fraction form
    8,689.76/13,033.26 = 2,765.88/x
  3. Step 3: Cross multiply
    8,689.76x = 13,033.26 × 2,765.88
  4. Step 4: Simplify right side
    8,689.76x = 36,048,433.17
  5. Step 5: Solve for x
    x = 36,048,433.17/8,689.76
  6. Step 6: Final answer
    x = 4,148.38

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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.