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Finding the Fourth Proportional to 2,167.80, 2,991.50 and 1,223.63

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Solution

The fourth proportional to 2,167.80, 2,991.50 and 1,223.63 is: 1,688.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.80 : 2,991.50 = 1,223.63 : x
  2. Step 2: Convert to fraction form
    2,167.80/2,991.50 = 1,223.63/x
  3. Step 3: Cross multiply
    2,167.80x = 2,991.50 × 1,223.63
  4. Step 4: Simplify right side
    2,167.80x = 3,660,474.19
  5. Step 5: Solve for x
    x = 3,660,474.19/2,167.80
  6. Step 6: Final answer
    x = 1,688.57

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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.