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Finding the Fourth Proportional to 1,721.41, 2,581.47 and 733.61

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Solution

The fourth proportional to 1,721.41, 2,581.47 and 733.61 is: 1,100.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.41 : 2,581.47 = 733.61 : x
  2. Step 2: Convert to fraction form
    1,721.41/2,581.47 = 733.61/x
  3. Step 3: Cross multiply
    1,721.41x = 2,581.47 × 733.61
  4. Step 4: Simplify right side
    1,721.41x = 1,893,792.21
  5. Step 5: Solve for x
    x = 1,893,792.21/1,721.41
  6. Step 6: Final answer
    x = 1,100.14

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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.