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Finding the Fourth Proportional to 3,802.90, 5,247.90 and 2,230.96

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Solution

The fourth proportional to 3,802.90, 5,247.90 and 2,230.96 is: 3,078.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.90 : 5,247.90 = 2,230.96 : x
  2. Step 2: Convert to fraction form
    3,802.90/5,247.90 = 2,230.96/x
  3. Step 3: Cross multiply
    3,802.90x = 5,247.90 × 2,230.96
  4. Step 4: Simplify right side
    3,802.90x = 11,707,854.98
  5. Step 5: Solve for x
    x = 11,707,854.98/3,802.90
  6. Step 6: Final answer
    x = 3,078.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.