Home / 2,823.10-4,234.83-974.38

Finding the Fourth Proportional to 2,823.10, 4,234.83 and 974.38

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Solution

The fourth proportional to 2,823.10, 4,234.83 and 974.38 is: 1,461.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.10 : 4,234.83 = 974.38 : x
  2. Step 2: Convert to fraction form
    2,823.10/4,234.83 = 974.38/x
  3. Step 3: Cross multiply
    2,823.10x = 4,234.83 × 974.38
  4. Step 4: Simplify right side
    2,823.10x = 4,126,333.66
  5. Step 5: Solve for x
    x = 4,126,333.66/2,823.10
  6. Step 6: Final answer
    x = 1,461.63

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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.