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Finding the Fourth Proportional to 5,288, 7,294.40 and 3,297.60

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Solution

The fourth proportional to 5,288, 7,294.40 and 3,297.60 is: 4,548.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288 : 7,294.40 = 3,297.60 : x
  2. Step 2: Convert to fraction form
    5,288/7,294.40 = 3,297.60/x
  3. Step 3: Cross multiply
    5,288x = 7,294.40 × 3,297.60
  4. Step 4: Simplify right side
    5,288x = 24,054,013.44
  5. Step 5: Solve for x
    x = 24,054,013.44/5,288
  6. Step 6: Final answer
    x = 4,548.79

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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.