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Finding the Fourth Proportional to 2,177.54, 3,266.76 and 716.78

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Solution

The fourth proportional to 2,177.54, 3,266.76 and 716.78 is: 1,075.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.54 : 3,266.76 = 716.78 : x
  2. Step 2: Convert to fraction form
    2,177.54/3,266.76 = 716.78/x
  3. Step 3: Cross multiply
    2,177.54x = 3,266.76 × 716.78
  4. Step 4: Simplify right side
    2,177.54x = 2,341,548.23
  5. Step 5: Solve for x
    x = 2,341,548.23/2,177.54
  6. Step 6: Final answer
    x = 1,075.32

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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.