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Finding the Fourth Proportional to 2,224.83, 3,337.40 and 765.01

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Solution

The fourth proportional to 2,224.83, 3,337.40 and 765.01 is: 1,147.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.83 : 3,337.40 = 765.01 : x
  2. Step 2: Convert to fraction form
    2,224.83/3,337.40 = 765.01/x
  3. Step 3: Cross multiply
    2,224.83x = 3,337.40 × 765.01
  4. Step 4: Simplify right side
    2,224.83x = 2,553,132.21
  5. Step 5: Solve for x
    x = 2,553,132.21/2,224.83
  6. Step 6: Final answer
    x = 1,147.56

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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.