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Finding the Fourth Proportional to 7,178.60, 9,905.98 and 3,991.65

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Solution

The fourth proportional to 7,178.60, 9,905.98 and 3,991.65 is: 5,508.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.60 : 9,905.98 = 3,991.65 : x
  2. Step 2: Convert to fraction form
    7,178.60/9,905.98 = 3,991.65/x
  3. Step 3: Cross multiply
    7,178.60x = 9,905.98 × 3,991.65
  4. Step 4: Simplify right side
    7,178.60x = 39,541,145.56
  5. Step 5: Solve for x
    x = 39,541,145.56/7,178.60
  6. Step 6: Final answer
    x = 5,508.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.