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Finding the Fourth Proportional to 1,669.52, 2,491.96 and 1,472.54

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Solution

The fourth proportional to 1,669.52, 2,491.96 and 1,472.54 is: 2,197.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.52 : 2,491.96 = 1,472.54 : x
  2. Step 2: Convert to fraction form
    1,669.52/2,491.96 = 1,472.54/x
  3. Step 3: Cross multiply
    1,669.52x = 2,491.96 × 1,472.54
  4. Step 4: Simplify right side
    1,669.52x = 3,669,497.40
  5. Step 5: Solve for x
    x = 3,669,497.40/1,669.52
  6. Step 6: Final answer
    x = 2,197.93

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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.