Home / 2,742.31-4,113.46-1,097.70

Finding the Fourth Proportional to 2,742.31, 4,113.46 and 1,097.70

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Solution

The fourth proportional to 2,742.31, 4,113.46 and 1,097.70 is: 1,646.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.31 : 4,113.46 = 1,097.70 : x
  2. Step 2: Convert to fraction form
    2,742.31/4,113.46 = 1,097.70/x
  3. Step 3: Cross multiply
    2,742.31x = 4,113.46 × 1,097.70
  4. Step 4: Simplify right side
    2,742.31x = 4,515,342.30
  5. Step 5: Solve for x
    x = 4,515,342.30/2,742.31
  6. Step 6: Final answer
    x = 1,646.55

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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.