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Finding the Fourth Proportional to 3,123.74, 4,311.48 and 1,798.21

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Solution

The fourth proportional to 3,123.74, 4,311.48 and 1,798.21 is: 2,481.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.74 : 4,311.48 = 1,798.21 : x
  2. Step 2: Convert to fraction form
    3,123.74/4,311.48 = 1,798.21/x
  3. Step 3: Cross multiply
    3,123.74x = 4,311.48 × 1,798.21
  4. Step 4: Simplify right side
    3,123.74x = 7,752,946.45
  5. Step 5: Solve for x
    x = 7,752,946.45/3,123.74
  6. Step 6: Final answer
    x = 2,481.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.