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Finding the Fourth Proportional to 6,391.76, 9,584.24 and 2,926

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Solution

The fourth proportional to 6,391.76, 9,584.24 and 2,926 is: 4,387.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,391.76 : 9,584.24 = 2,926 : x
  2. Step 2: Convert to fraction form
    6,391.76/9,584.24 = 2,926/x
  3. Step 3: Cross multiply
    6,391.76x = 9,584.24 × 2,926
  4. Step 4: Simplify right side
    6,391.76x = 28,043,486.24
  5. Step 5: Solve for x
    x = 28,043,486.24/6,391.76
  6. Step 6: Final answer
    x = 4,387.44

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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.