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Finding the Fourth Proportional to 3,002.52, 4,503.78 and 811.29

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Solution

The fourth proportional to 3,002.52, 4,503.78 and 811.29 is: 1,216.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.52 : 4,503.78 = 811.29 : x
  2. Step 2: Convert to fraction form
    3,002.52/4,503.78 = 811.29/x
  3. Step 3: Cross multiply
    3,002.52x = 4,503.78 × 811.29
  4. Step 4: Simplify right side
    3,002.52x = 3,653,871.68
  5. Step 5: Solve for x
    x = 3,653,871.68/3,002.52
  6. Step 6: Final answer
    x = 1,216.94

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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.