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Finding the Fourth Proportional to 8,191.63, 12,288.08 and 2,927.78

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Solution

The fourth proportional to 8,191.63, 12,288.08 and 2,927.78 is: 4,391.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.63 : 12,288.08 = 2,927.78 : x
  2. Step 2: Convert to fraction form
    8,191.63/12,288.08 = 2,927.78/x
  3. Step 3: Cross multiply
    8,191.63x = 12,288.08 × 2,927.78
  4. Step 4: Simplify right side
    8,191.63x = 35,976,740.74
  5. Step 5: Solve for x
    x = 35,976,740.74/8,191.63
  6. Step 6: Final answer
    x = 4,391.89

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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.