Home / 2,769.24-4,154.26-821.18

Finding the Fourth Proportional to 2,769.24, 4,154.26 and 821.18

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Solution

The fourth proportional to 2,769.24, 4,154.26 and 821.18 is: 1,231.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.24 : 4,154.26 = 821.18 : x
  2. Step 2: Convert to fraction form
    2,769.24/4,154.26 = 821.18/x
  3. Step 3: Cross multiply
    2,769.24x = 4,154.26 × 821.18
  4. Step 4: Simplify right side
    2,769.24x = 3,411,395.23
  5. Step 5: Solve for x
    x = 3,411,395.23/2,769.24
  6. Step 6: Final answer
    x = 1,231.89

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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.