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Finding the Fourth Proportional to 3,158.54, 4,358.78 and 1,742.19

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Solution

The fourth proportional to 3,158.54, 4,358.78 and 1,742.19 is: 2,404.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.54 : 4,358.78 = 1,742.19 : x
  2. Step 2: Convert to fraction form
    3,158.54/4,358.78 = 1,742.19/x
  3. Step 3: Cross multiply
    3,158.54x = 4,358.78 × 1,742.19
  4. Step 4: Simplify right side
    3,158.54x = 7,593,827.28
  5. Step 5: Solve for x
    x = 7,593,827.28/3,158.54
  6. Step 6: Final answer
    x = 2,404.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.