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Finding the Fourth Proportional to 1,645.70, 2,452.03 and 1,601.61

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Solution

The fourth proportional to 1,645.70, 2,452.03 and 1,601.61 is: 2,386.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.70 : 2,452.03 = 1,601.61 : x
  2. Step 2: Convert to fraction form
    1,645.70/2,452.03 = 1,601.61/x
  3. Step 3: Cross multiply
    1,645.70x = 2,452.03 × 1,601.61
  4. Step 4: Simplify right side
    1,645.70x = 3,927,195.77
  5. Step 5: Solve for x
    x = 3,927,195.77/1,645.70
  6. Step 6: Final answer
    x = 2,386.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.