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Finding the Fourth Proportional to 5,277, 7,281.63 and 2,918.82

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Solution

The fourth proportional to 5,277, 7,281.63 and 2,918.82 is: 4,027.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,277 : 7,281.63 = 2,918.82 : x
  2. Step 2: Convert to fraction form
    5,277/7,281.63 = 2,918.82/x
  3. Step 3: Cross multiply
    5,277x = 7,281.63 × 2,918.82
  4. Step 4: Simplify right side
    5,277x = 21,253,767.28
  5. Step 5: Solve for x
    x = 21,253,767.28/5,277
  6. Step 6: Final answer
    x = 4,027.62

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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.