Home / 2,283.85-3,423.72-821.98

Finding the Fourth Proportional to 2,283.85, 3,423.72 and 821.98

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Solution

The fourth proportional to 2,283.85, 3,423.72 and 821.98 is: 1,232.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.85 : 3,423.72 = 821.98 : x
  2. Step 2: Convert to fraction form
    2,283.85/3,423.72 = 821.98/x
  3. Step 3: Cross multiply
    2,283.85x = 3,423.72 × 821.98
  4. Step 4: Simplify right side
    2,283.85x = 2,814,220.81
  5. Step 5: Solve for x
    x = 2,814,220.81/2,283.85
  6. Step 6: Final answer
    x = 1,232.23

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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.