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Finding the Fourth Proportional to 5,277, 7,910.34 and 4,291.84

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Solution

The fourth proportional to 5,277, 7,910.34 and 4,291.84 is: 6,433.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,277 : 7,910.34 = 4,291.84 : x
  2. Step 2: Convert to fraction form
    5,277/7,910.34 = 4,291.84/x
  3. Step 3: Cross multiply
    5,277x = 7,910.34 × 4,291.84
  4. Step 4: Simplify right side
    5,277x = 33,949,913.63
  5. Step 5: Solve for x
    x = 33,949,913.63/5,277
  6. Step 6: Final answer
    x = 6,433.56

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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.