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Finding the Fourth Proportional to 5,265.76, 7,266.78 and 2,908

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Solution

The fourth proportional to 5,265.76, 7,266.78 and 2,908 is: 4,013.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.76 : 7,266.78 = 2,908 : x
  2. Step 2: Convert to fraction form
    5,265.76/7,266.78 = 2,908/x
  3. Step 3: Cross multiply
    5,265.76x = 7,266.78 × 2,908
  4. Step 4: Simplify right side
    5,265.76x = 21,131,796.24
  5. Step 5: Solve for x
    x = 21,131,796.24/5,265.76
  6. Step 6: Final answer
    x = 4,013.06

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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.