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Finding the Fourth Proportional to 8,532.40, 12,800.40 and 2,689

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Solution

The fourth proportional to 8,532.40, 12,800.40 and 2,689 is: 4,034.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,532.40 : 12,800.40 = 2,689 : x
  2. Step 2: Convert to fraction form
    8,532.40/12,800.40 = 2,689/x
  3. Step 3: Cross multiply
    8,532.40x = 12,800.40 × 2,689
  4. Step 4: Simplify right side
    8,532.40x = 34,420,275.60
  5. Step 5: Solve for x
    x = 34,420,275.60/8,532.40
  6. Step 6: Final answer
    x = 4,034.07

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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.