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Finding the Fourth Proportional to 8,200.79, 12,301.22 and 2,278.14

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Solution

The fourth proportional to 8,200.79, 12,301.22 and 2,278.14 is: 3,417.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.79 : 12,301.22 = 2,278.14 : x
  2. Step 2: Convert to fraction form
    8,200.79/12,301.22 = 2,278.14/x
  3. Step 3: Cross multiply
    8,200.79x = 12,301.22 × 2,278.14
  4. Step 4: Simplify right side
    8,200.79x = 28,023,889.94
  5. Step 5: Solve for x
    x = 28,023,889.94/8,200.79
  6. Step 6: Final answer
    x = 3,417.22

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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.