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Finding the Fourth Proportional to 8,160.75, 12,203.75 and 6,082.20

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Solution

The fourth proportional to 8,160.75, 12,203.75 and 6,082.20 is: 9,095.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,160.75 : 12,203.75 = 6,082.20 : x
  2. Step 2: Convert to fraction form
    8,160.75/12,203.75 = 6,082.20/x
  3. Step 3: Cross multiply
    8,160.75x = 12,203.75 × 6,082.20
  4. Step 4: Simplify right side
    8,160.75x = 74,225,617.84
  5. Step 5: Solve for x
    x = 74,225,617.84/8,160.75
  6. Step 6: Final answer
    x = 9,095.44

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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.