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Finding the Fourth Proportional to 8,182.77, 12,274.17 and 5,408.88

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Solution

The fourth proportional to 8,182.77, 12,274.17 and 5,408.88 is: 8,113.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.77 : 12,274.17 = 5,408.88 : x
  2. Step 2: Convert to fraction form
    8,182.77/12,274.17 = 5,408.88/x
  3. Step 3: Cross multiply
    8,182.77x = 12,274.17 × 5,408.88
  4. Step 4: Simplify right side
    8,182.77x = 66,389,446.32
  5. Step 5: Solve for x
    x = 66,389,446.32/8,182.77
  6. Step 6: Final answer
    x = 8,113.32

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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.