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Finding the Fourth Proportional to 2,213.50, 3,320.54 and 752.26

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Solution

The fourth proportional to 2,213.50, 3,320.54 and 752.26 is: 1,128.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.50 : 3,320.54 = 752.26 : x
  2. Step 2: Convert to fraction form
    2,213.50/3,320.54 = 752.26/x
  3. Step 3: Cross multiply
    2,213.50x = 3,320.54 × 752.26
  4. Step 4: Simplify right side
    2,213.50x = 2,497,909.42
  5. Step 5: Solve for x
    x = 2,497,909.42/2,213.50
  6. Step 6: Final answer
    x = 1,128.49

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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.