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Finding the Fourth Proportional to 8,082.64, 12,134.76 and 7,820.20

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Solution

The fourth proportional to 8,082.64, 12,134.76 and 7,820.20 is: 11,740.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.64 : 12,134.76 = 7,820.20 : x
  2. Step 2: Convert to fraction form
    8,082.64/12,134.76 = 7,820.20/x
  3. Step 3: Cross multiply
    8,082.64x = 12,134.76 × 7,820.20
  4. Step 4: Simplify right side
    8,082.64x = 94,896,250.15
  5. Step 5: Solve for x
    x = 94,896,250.15/8,082.64
  6. Step 6: Final answer
    x = 11,740.75

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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.