Home / 8,275.96-12,416-2,432.57

Finding the Fourth Proportional to 8,275.96, 12,416 and 2,432.57

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Solution

The fourth proportional to 8,275.96, 12,416 and 2,432.57 is: 3,649.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275.96 : 12,416 = 2,432.57 : x
  2. Step 2: Convert to fraction form
    8,275.96/12,416 = 2,432.57/x
  3. Step 3: Cross multiply
    8,275.96x = 12,416 × 2,432.57
  4. Step 4: Simplify right side
    8,275.96x = 30,202,789.12
  5. Step 5: Solve for x
    x = 30,202,789.12/8,275.96
  6. Step 6: Final answer
    x = 3,649.46

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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.