Home / 3,161.30-4,742.40-969.70

Finding the Fourth Proportional to 3,161.30, 4,742.40 and 969.70

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Solution

The fourth proportional to 3,161.30, 4,742.40 and 969.70 is: 1,454.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.30 : 4,742.40 = 969.70 : x
  2. Step 2: Convert to fraction form
    3,161.30/4,742.40 = 969.70/x
  3. Step 3: Cross multiply
    3,161.30x = 4,742.40 × 969.70
  4. Step 4: Simplify right side
    3,161.30x = 4,598,705.28
  5. Step 5: Solve for x
    x = 4,598,705.28/3,161.30
  6. Step 6: Final answer
    x = 1,454.69

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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.