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Finding the Fourth Proportional to 4,657.86, 6,986.68 and 2,191.31

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Solution

The fourth proportional to 4,657.86, 6,986.68 and 2,191.31 is: 3,286.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.86 : 6,986.68 = 2,191.31 : x
  2. Step 2: Convert to fraction form
    4,657.86/6,986.68 = 2,191.31/x
  3. Step 3: Cross multiply
    4,657.86x = 6,986.68 × 2,191.31
  4. Step 4: Simplify right side
    4,657.86x = 15,309,981.75
  5. Step 5: Solve for x
    x = 15,309,981.75/4,657.86
  6. Step 6: Final answer
    x = 3,286.91

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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.