Home / 2,742.40-4,115.16-1,649.44

Finding the Fourth Proportional to 2,742.40, 4,115.16 and 1,649.44

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Solution

The fourth proportional to 2,742.40, 4,115.16 and 1,649.44 is: 2,475.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.40 : 4,115.16 = 1,649.44 : x
  2. Step 2: Convert to fraction form
    2,742.40/4,115.16 = 1,649.44/x
  3. Step 3: Cross multiply
    2,742.40x = 4,115.16 × 1,649.44
  4. Step 4: Simplify right side
    2,742.40x = 6,787,709.51
  5. Step 5: Solve for x
    x = 6,787,709.51/2,742.40
  6. Step 6: Final answer
    x = 2,475.10

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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.