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Finding the Fourth Proportional to 3,280.28, 4,920.45 and 815.10

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Solution

The fourth proportional to 3,280.28, 4,920.45 and 815.10 is: 1,222.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280.28 : 4,920.45 = 815.10 : x
  2. Step 2: Convert to fraction form
    3,280.28/4,920.45 = 815.10/x
  3. Step 3: Cross multiply
    3,280.28x = 4,920.45 × 815.10
  4. Step 4: Simplify right side
    3,280.28x = 4,010,658.80
  5. Step 5: Solve for x
    x = 4,010,658.80/3,280.28
  6. Step 6: Final answer
    x = 1,222.66

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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.