Home / 2,101.21-3,151.92-802.78

Finding the Fourth Proportional to 2,101.21, 3,151.92 and 802.78

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Solution

The fourth proportional to 2,101.21, 3,151.92 and 802.78 is: 1,204.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.21 : 3,151.92 = 802.78 : x
  2. Step 2: Convert to fraction form
    2,101.21/3,151.92 = 802.78/x
  3. Step 3: Cross multiply
    2,101.21x = 3,151.92 × 802.78
  4. Step 4: Simplify right side
    2,101.21x = 2,530,298.34
  5. Step 5: Solve for x
    x = 2,530,298.34/2,101.21
  6. Step 6: Final answer
    x = 1,204.21

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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.