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Finding the Fourth Proportional to 3,002.79, 4,503.75 and 811.65

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Solution

The fourth proportional to 3,002.79, 4,503.75 and 811.65 is: 1,217.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.79 : 4,503.75 = 811.65 : x
  2. Step 2: Convert to fraction form
    3,002.79/4,503.75 = 811.65/x
  3. Step 3: Cross multiply
    3,002.79x = 4,503.75 × 811.65
  4. Step 4: Simplify right side
    3,002.79x = 3,655,468.69
  5. Step 5: Solve for x
    x = 3,655,468.69/3,002.79
  6. Step 6: Final answer
    x = 1,217.36

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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.