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Finding the Fourth Proportional to 2,177.72, 3,266.22 and 716.89

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Solution

The fourth proportional to 2,177.72, 3,266.22 and 716.89 is: 1,075.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.72 : 3,266.22 = 716.89 : x
  2. Step 2: Convert to fraction form
    2,177.72/3,266.22 = 716.89/x
  3. Step 3: Cross multiply
    2,177.72x = 3,266.22 × 716.89
  4. Step 4: Simplify right side
    2,177.72x = 2,341,520.46
  5. Step 5: Solve for x
    x = 2,341,520.46/2,177.72
  6. Step 6: Final answer
    x = 1,075.22

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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.