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Finding the Fourth Proportional to 3,104.73, 4,655.97 and 912.78

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Solution

The fourth proportional to 3,104.73, 4,655.97 and 912.78 is: 1,368.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.73 : 4,655.97 = 912.78 : x
  2. Step 2: Convert to fraction form
    3,104.73/4,655.97 = 912.78/x
  3. Step 3: Cross multiply
    3,104.73x = 4,655.97 × 912.78
  4. Step 4: Simplify right side
    3,104.73x = 4,249,876.30
  5. Step 5: Solve for x
    x = 4,249,876.30/3,104.73
  6. Step 6: Final answer
    x = 1,368.84

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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.