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Finding the Fourth Proportional to 9,077.76, 12,532.05 and 6,109.20

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Solution

The fourth proportional to 9,077.76, 12,532.05 and 6,109.20 is: 8,433.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.76 : 12,532.05 = 6,109.20 : x
  2. Step 2: Convert to fraction form
    9,077.76/12,532.05 = 6,109.20/x
  3. Step 3: Cross multiply
    9,077.76x = 12,532.05 × 6,109.20
  4. Step 4: Simplify right side
    9,077.76x = 76,560,799.86
  5. Step 5: Solve for x
    x = 76,560,799.86/9,077.76
  6. Step 6: Final answer
    x = 8,433.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.