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Finding the Fourth Proportional to 3,002.89, 4,503.80 and 811.33

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Solution

The fourth proportional to 3,002.89, 4,503.80 and 811.33 is: 1,216.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.89 : 4,503.80 = 811.33 : x
  2. Step 2: Convert to fraction form
    3,002.89/4,503.80 = 811.33/x
  3. Step 3: Cross multiply
    3,002.89x = 4,503.80 × 811.33
  4. Step 4: Simplify right side
    3,002.89x = 3,654,084.16
  5. Step 5: Solve for x
    x = 3,654,084.16/3,002.89
  6. Step 6: Final answer
    x = 1,216.86

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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.