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Finding the Fourth Proportional to 8,002.88, 11,981.72 and 4,246.16

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Solution

The fourth proportional to 8,002.88, 11,981.72 and 4,246.16 is: 6,357.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.88 : 11,981.72 = 4,246.16 : x
  2. Step 2: Convert to fraction form
    8,002.88/11,981.72 = 4,246.16/x
  3. Step 3: Cross multiply
    8,002.88x = 11,981.72 × 4,246.16
  4. Step 4: Simplify right side
    8,002.88x = 50,876,300.20
  5. Step 5: Solve for x
    x = 50,876,300.20/8,002.88
  6. Step 6: Final answer
    x = 6,357.25

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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.