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Finding the Fourth Proportional to 8,010.40, 11,983.20 and 7,232.80

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Solution

The fourth proportional to 8,010.40, 11,983.20 and 7,232.80 is: 10,819.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,010.40 : 11,983.20 = 7,232.80 : x
  2. Step 2: Convert to fraction form
    8,010.40/11,983.20 = 7,232.80/x
  3. Step 3: Cross multiply
    8,010.40x = 11,983.20 × 7,232.80
  4. Step 4: Simplify right side
    8,010.40x = 86,672,088.96
  5. Step 5: Solve for x
    x = 86,672,088.96/8,010.40
  6. Step 6: Final answer
    x = 10,819.95

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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.