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Finding the Fourth Proportional to 8,082.40, 12,152.40 and 6,815.20

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Solution

The fourth proportional to 8,082.40, 12,152.40 and 6,815.20 is: 10,247.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.40 : 12,152.40 = 6,815.20 : x
  2. Step 2: Convert to fraction form
    8,082.40/12,152.40 = 6,815.20/x
  3. Step 3: Cross multiply
    8,082.40x = 12,152.40 × 6,815.20
  4. Step 4: Simplify right side
    8,082.40x = 82,821,036.48
  5. Step 5: Solve for x
    x = 82,821,036.48/8,082.40
  6. Step 6: Final answer
    x = 10,247.08

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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.