Home / 2,828.26-4,242.30-748.20

Finding the Fourth Proportional to 2,828.26, 4,242.30 and 748.20

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Solution

The fourth proportional to 2,828.26, 4,242.30 and 748.20 is: 1,122.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.26 : 4,242.30 = 748.20 : x
  2. Step 2: Convert to fraction form
    2,828.26/4,242.30 = 748.20/x
  3. Step 3: Cross multiply
    2,828.26x = 4,242.30 × 748.20
  4. Step 4: Simplify right side
    2,828.26x = 3,174,088.86
  5. Step 5: Solve for x
    x = 3,174,088.86/2,828.26
  6. Step 6: Final answer
    x = 1,122.28

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1.5x scale

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.