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Finding the Fourth Proportional to 3,002.77, 4,504.14 and 811.72

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Solution

The fourth proportional to 3,002.77, 4,504.14 and 811.72 is: 1,217.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.77 : 4,504.14 = 811.72 : x
  2. Step 2: Convert to fraction form
    3,002.77/4,504.14 = 811.72/x
  3. Step 3: Cross multiply
    3,002.77x = 4,504.14 × 811.72
  4. Step 4: Simplify right side
    3,002.77x = 3,656,100.52
  5. Step 5: Solve for x
    x = 3,656,100.52/3,002.77
  6. Step 6: Final answer
    x = 1,217.58

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1.5x scale

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.