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Finding the Fourth Proportional to 8,278.40, 12,401.40 and 7,695.20

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Solution

The fourth proportional to 8,278.40, 12,401.40 and 7,695.20 is: 11,527.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.40 : 12,401.40 = 7,695.20 : x
  2. Step 2: Convert to fraction form
    8,278.40/12,401.40 = 7,695.20/x
  3. Step 3: Cross multiply
    8,278.40x = 12,401.40 × 7,695.20
  4. Step 4: Simplify right side
    8,278.40x = 95,431,253.28
  5. Step 5: Solve for x
    x = 95,431,253.28/8,278.40
  6. Step 6: Final answer
    x = 11,527.74

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1.5x scale

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.