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Finding the Fourth Proportional to 2,167.93, 2,991.65 and 1,223.74

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Solution

The fourth proportional to 2,167.93, 2,991.65 and 1,223.74 is: 1,688.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.93 : 2,991.65 = 1,223.74 : x
  2. Step 2: Convert to fraction form
    2,167.93/2,991.65 = 1,223.74/x
  3. Step 3: Cross multiply
    2,167.93x = 2,991.65 × 1,223.74
  4. Step 4: Simplify right side
    2,167.93x = 3,661,006.28
  5. Step 5: Solve for x
    x = 3,661,006.28/2,167.93
  6. Step 6: Final answer
    x = 1,688.71

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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.