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Finding the Fourth Proportional to 3,114.68, 4,668.36 and 1,727.68

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Solution

The fourth proportional to 3,114.68, 4,668.36 and 1,727.68 is: 2,589.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.68 : 4,668.36 = 1,727.68 : x
  2. Step 2: Convert to fraction form
    3,114.68/4,668.36 = 1,727.68/x
  3. Step 3: Cross multiply
    3,114.68x = 4,668.36 × 1,727.68
  4. Step 4: Simplify right side
    3,114.68x = 8,065,432.20
  5. Step 5: Solve for x
    x = 8,065,432.20/3,114.68
  6. Step 6: Final answer
    x = 2,589.49

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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.