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Finding the Fourth Proportional to 6,394.54, 9,588.55 and 2,928.82

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Solution

The fourth proportional to 6,394.54, 9,588.55 and 2,928.82 is: 4,391.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.54 : 9,588.55 = 2,928.82 : x
  2. Step 2: Convert to fraction form
    6,394.54/9,588.55 = 2,928.82/x
  3. Step 3: Cross multiply
    6,394.54x = 9,588.55 × 2,928.82
  4. Step 4: Simplify right side
    6,394.54x = 28,083,137.01
  5. Step 5: Solve for x
    x = 28,083,137.01/6,394.54
  6. Step 6: Final answer
    x = 4,391.74

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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.