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Finding the Fourth Proportional to 5,191.86, 7,789.08 and 1,494.08

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Solution

The fourth proportional to 5,191.86, 7,789.08 and 1,494.08 is: 2,241.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.86 : 7,789.08 = 1,494.08 : x
  2. Step 2: Convert to fraction form
    5,191.86/7,789.08 = 1,494.08/x
  3. Step 3: Cross multiply
    5,191.86x = 7,789.08 × 1,494.08
  4. Step 4: Simplify right side
    5,191.86x = 11,637,508.65
  5. Step 5: Solve for x
    x = 11,637,508.65/5,191.86
  6. Step 6: Final answer
    x = 2,241.49

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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.