Home / 2,282.10-3,423.13-821.35

Finding the Fourth Proportional to 2,282.10, 3,423.13 and 821.35

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Solution

The fourth proportional to 2,282.10, 3,423.13 and 821.35 is: 1,232.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.10 : 3,423.13 = 821.35 : x
  2. Step 2: Convert to fraction form
    2,282.10/3,423.13 = 821.35/x
  3. Step 3: Cross multiply
    2,282.10x = 3,423.13 × 821.35
  4. Step 4: Simplify right side
    2,282.10x = 2,811,587.83
  5. Step 5: Solve for x
    x = 2,811,587.83/2,282.10
  6. Step 6: Final answer
    x = 1,232.02

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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.