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Finding the Fourth Proportional to 2,602.75, 3,904.13 and 1,217.64

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Solution

The fourth proportional to 2,602.75, 3,904.13 and 1,217.64 is: 1,826.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.75 : 3,904.13 = 1,217.64 : x
  2. Step 2: Convert to fraction form
    2,602.75/3,904.13 = 1,217.64/x
  3. Step 3: Cross multiply
    2,602.75x = 3,904.13 × 1,217.64
  4. Step 4: Simplify right side
    2,602.75x = 4,753,813.73
  5. Step 5: Solve for x
    x = 4,753,813.73/2,602.75
  6. Step 6: Final answer
    x = 1,826.46

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Similar ratio
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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.