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Finding the Fourth Proportional to 1,741.91, 2,613.01 and 571.86

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Solution

The fourth proportional to 1,741.91, 2,613.01 and 571.86 is: 857.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.91 : 2,613.01 = 571.86 : x
  2. Step 2: Convert to fraction form
    1,741.91/2,613.01 = 571.86/x
  3. Step 3: Cross multiply
    1,741.91x = 2,613.01 × 571.86
  4. Step 4: Simplify right side
    1,741.91x = 1,494,275.54
  5. Step 5: Solve for x
    x = 1,494,275.54/1,741.91
  6. Step 6: Final answer
    x = 857.84

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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.