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Finding the Fourth Proportional to 8,193.74, 12,291.89 and 4,243.77

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Solution

The fourth proportional to 8,193.74, 12,291.89 and 4,243.77 is: 6,366.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.74 : 12,291.89 = 4,243.77 : x
  2. Step 2: Convert to fraction form
    8,193.74/12,291.89 = 4,243.77/x
  3. Step 3: Cross multiply
    8,193.74x = 12,291.89 × 4,243.77
  4. Step 4: Simplify right side
    8,193.74x = 52,163,932.81
  5. Step 5: Solve for x
    x = 52,163,932.81/8,193.74
  6. Step 6: Final answer
    x = 6,366.32

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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.