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Finding the Fourth Proportional to 8,002.52, 11,988.78 and 4,705.76

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Solution

The fourth proportional to 8,002.52, 11,988.78 and 4,705.76 is: 7,049.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.52 : 11,988.78 = 4,705.76 : x
  2. Step 2: Convert to fraction form
    8,002.52/11,988.78 = 4,705.76/x
  3. Step 3: Cross multiply
    8,002.52x = 11,988.78 × 4,705.76
  4. Step 4: Simplify right side
    8,002.52x = 56,416,321.37
  5. Step 5: Solve for x
    x = 56,416,321.37/8,002.52
  6. Step 6: Final answer
    x = 7,049.82

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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.