Home / 2,769.10-4,154.19-821.32

Finding the Fourth Proportional to 2,769.10, 4,154.19 and 821.32

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Solution

The fourth proportional to 2,769.10, 4,154.19 and 821.32 is: 1,232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.10 : 4,154.19 = 821.32 : x
  2. Step 2: Convert to fraction form
    2,769.10/4,154.19 = 821.32/x
  3. Step 3: Cross multiply
    2,769.10x = 4,154.19 × 821.32
  4. Step 4: Simplify right side
    2,769.10x = 3,411,919.33
  5. Step 5: Solve for x
    x = 3,411,919.33/2,769.10
  6. Step 6: Final answer
    x = 1,232.14

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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.