Home / 2,452.38-3,384-1,457.70

Finding the Fourth Proportional to 2,452.38, 3,384 and 1,457.70

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Solution

The fourth proportional to 2,452.38, 3,384 and 1,457.70 is: 2,011.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.38 : 3,384 = 1,457.70 : x
  2. Step 2: Convert to fraction form
    2,452.38/3,384 = 1,457.70/x
  3. Step 3: Cross multiply
    2,452.38x = 3,384 × 1,457.70
  4. Step 4: Simplify right side
    2,452.38x = 4,932,856.80
  5. Step 5: Solve for x
    x = 4,932,856.80/2,452.38
  6. Step 6: Final answer
    x = 2,011.46

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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.