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Finding the Fourth Proportional to 4,788.18, 7,184.43 and 2,191.86

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Solution

The fourth proportional to 4,788.18, 7,184.43 and 2,191.86 is: 3,288.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,788.18 : 7,184.43 = 2,191.86 : x
  2. Step 2: Convert to fraction form
    4,788.18/7,184.43 = 2,191.86/x
  3. Step 3: Cross multiply
    4,788.18x = 7,184.43 × 2,191.86
  4. Step 4: Simplify right side
    4,788.18x = 15,747,264.74
  5. Step 5: Solve for x
    x = 15,747,264.74/4,788.18
  6. Step 6: Final answer
    x = 3,288.78

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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.