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Finding the Fourth Proportional to 1,645.96, 2,472.54 and 1,338.28

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Solution

The fourth proportional to 1,645.96, 2,472.54 and 1,338.28 is: 2,010.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.96 : 2,472.54 = 1,338.28 : x
  2. Step 2: Convert to fraction form
    1,645.96/2,472.54 = 1,338.28/x
  3. Step 3: Cross multiply
    1,645.96x = 2,472.54 × 1,338.28
  4. Step 4: Simplify right side
    1,645.96x = 3,308,950.83
  5. Step 5: Solve for x
    x = 3,308,950.83/1,645.96
  6. Step 6: Final answer
    x = 2,010.35

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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.