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Finding the Fourth Proportional to 8,648.25, 12,974.20 and 2,804.41

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Solution

The fourth proportional to 8,648.25, 12,974.20 and 2,804.41 is: 4,207.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,648.25 : 12,974.20 = 2,804.41 : x
  2. Step 2: Convert to fraction form
    8,648.25/12,974.20 = 2,804.41/x
  3. Step 3: Cross multiply
    8,648.25x = 12,974.20 × 2,804.41
  4. Step 4: Simplify right side
    8,648.25x = 36,384,950.80
  5. Step 5: Solve for x
    x = 36,384,950.80/8,648.25
  6. Step 6: Final answer
    x = 4,207.20

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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.