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Finding the Fourth Proportional to 2,159.92, 2,978.94 and 1,373.68

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Solution

The fourth proportional to 2,159.92, 2,978.94 and 1,373.68 is: 1,894.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.92 : 2,978.94 = 1,373.68 : x
  2. Step 2: Convert to fraction form
    2,159.92/2,978.94 = 1,373.68/x
  3. Step 3: Cross multiply
    2,159.92x = 2,978.94 × 1,373.68
  4. Step 4: Simplify right side
    2,159.92x = 4,092,110.30
  5. Step 5: Solve for x
    x = 4,092,110.30/2,159.92
  6. Step 6: Final answer
    x = 1,894.57

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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.