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Finding the Fourth Proportional to 2,823.39, 4,234.41 and 974.57

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Solution

The fourth proportional to 2,823.39, 4,234.41 and 974.57 is: 1,461.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.39 : 4,234.41 = 974.57 : x
  2. Step 2: Convert to fraction form
    2,823.39/4,234.41 = 974.57/x
  3. Step 3: Cross multiply
    2,823.39x = 4,234.41 × 974.57
  4. Step 4: Simplify right side
    2,823.39x = 4,126,707.78
  5. Step 5: Solve for x
    x = 4,126,707.78/2,823.39
  6. Step 6: Final answer
    x = 1,461.61

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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.