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Finding the Fourth Proportional to 2,114.85, 3,168.68 and 1,747.65

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Solution

The fourth proportional to 2,114.85, 3,168.68 and 1,747.65 is: 2,618.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.85 : 3,168.68 = 1,747.65 : x
  2. Step 2: Convert to fraction form
    2,114.85/3,168.68 = 1,747.65/x
  3. Step 3: Cross multiply
    2,114.85x = 3,168.68 × 1,747.65
  4. Step 4: Simplify right side
    2,114.85x = 5,537,734.86
  5. Step 5: Solve for x
    x = 5,537,734.86/2,114.85
  6. Step 6: Final answer
    x = 2,618.50

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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.