Home / 2,742.16-4,113.28-1,646

Finding the Fourth Proportional to 2,742.16, 4,113.28 and 1,646

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Solution

The fourth proportional to 2,742.16, 4,113.28 and 1,646 is: 2,469.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.16 : 4,113.28 = 1,646 : x
  2. Step 2: Convert to fraction form
    2,742.16/4,113.28 = 1,646/x
  3. Step 3: Cross multiply
    2,742.16x = 4,113.28 × 1,646
  4. Step 4: Simplify right side
    2,742.16x = 6,770,458.88
  5. Step 5: Solve for x
    x = 6,770,458.88/2,742.16
  6. Step 6: Final answer
    x = 2,469.02

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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.