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Finding the Fourth Proportional to 10,400.81, 15,601.22 and 3,475.31

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Solution

The fourth proportional to 10,400.81, 15,601.22 and 3,475.31 is: 5,212.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400.81 : 15,601.22 = 3,475.31 : x
  2. Step 2: Convert to fraction form
    10,400.81/15,601.22 = 3,475.31/x
  3. Step 3: Cross multiply
    10,400.81x = 15,601.22 × 3,475.31
  4. Step 4: Simplify right side
    10,400.81x = 54,219,123.57
  5. Step 5: Solve for x
    x = 54,219,123.57/10,400.81
  6. Step 6: Final answer
    x = 5,212.97

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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.