Home / 2,282.30-3,423.45-821.60

Finding the Fourth Proportional to 2,282.30, 3,423.45 and 821.60

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Solution

The fourth proportional to 2,282.30, 3,423.45 and 821.60 is: 1,232.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.30 : 3,423.45 = 821.60 : x
  2. Step 2: Convert to fraction form
    2,282.30/3,423.45 = 821.60/x
  3. Step 3: Cross multiply
    2,282.30x = 3,423.45 × 821.60
  4. Step 4: Simplify right side
    2,282.30x = 2,812,706.52
  5. Step 5: Solve for x
    x = 2,812,706.52/2,282.30
  6. Step 6: Final answer
    x = 1,232.40

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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.