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Finding the Fourth Proportional to 5,637.60, 8,456.81 and 1,742.31

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Solution

The fourth proportional to 5,637.60, 8,456.81 and 1,742.31 is: 2,613.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,637.60 : 8,456.81 = 1,742.31 : x
  2. Step 2: Convert to fraction form
    5,637.60/8,456.81 = 1,742.31/x
  3. Step 3: Cross multiply
    5,637.60x = 8,456.81 × 1,742.31
  4. Step 4: Simplify right side
    5,637.60x = 14,734,375.92
  5. Step 5: Solve for x
    x = 14,734,375.92/5,637.60
  6. Step 6: Final answer
    x = 2,613.59

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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.