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Finding the Fourth Proportional to 7,881.20, 11,821.80 and 6,471.80

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Solution

The fourth proportional to 7,881.20, 11,821.80 and 6,471.80 is: 9,707.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.20 : 11,821.80 = 6,471.80 : x
  2. Step 2: Convert to fraction form
    7,881.20/11,821.80 = 6,471.80/x
  3. Step 3: Cross multiply
    7,881.20x = 11,821.80 × 6,471.80
  4. Step 4: Simplify right side
    7,881.20x = 76,508,325.24
  5. Step 5: Solve for x
    x = 76,508,325.24/7,881.20
  6. Step 6: Final answer
    x = 9,707.70

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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.