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Finding the Fourth Proportional to 5,280, 7,286.37 and 2,889.96

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Solution

The fourth proportional to 5,280, 7,286.37 and 2,889.96 is: 3,988.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280 : 7,286.37 = 2,889.96 : x
  2. Step 2: Convert to fraction form
    5,280/7,286.37 = 2,889.96/x
  3. Step 3: Cross multiply
    5,280x = 7,286.37 × 2,889.96
  4. Step 4: Simplify right side
    5,280x = 21,057,317.85
  5. Step 5: Solve for x
    x = 21,057,317.85/5,280
  6. Step 6: Final answer
    x = 3,988.13

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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.