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Finding the Fourth Proportional to 1,733, 2,391 and 1,143.86

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Solution

The fourth proportional to 1,733, 2,391 and 1,143.86 is: 1,578.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733 : 2,391 = 1,143.86 : x
  2. Step 2: Convert to fraction form
    1,733/2,391 = 1,143.86/x
  3. Step 3: Cross multiply
    1,733x = 2,391 × 1,143.86
  4. Step 4: Simplify right side
    1,733x = 2,734,969.26
  5. Step 5: Solve for x
    x = 2,734,969.26/1,733
  6. Step 6: Final answer
    x = 1,578.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.