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Finding the Fourth Proportional to 2,403.61, 3,605.28 and 843.69

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Solution

The fourth proportional to 2,403.61, 3,605.28 and 843.69 is: 1,265.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.61 : 3,605.28 = 843.69 : x
  2. Step 2: Convert to fraction form
    2,403.61/3,605.28 = 843.69/x
  3. Step 3: Cross multiply
    2,403.61x = 3,605.28 × 843.69
  4. Step 4: Simplify right side
    2,403.61x = 3,041,720.66
  5. Step 5: Solve for x
    x = 3,041,720.66/2,403.61
  6. Step 6: Final answer
    x = 1,265.48

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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.