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Finding the Fourth Proportional to 6,542.87, 9,810.35 and 2,935.79

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Solution

The fourth proportional to 6,542.87, 9,810.35 and 2,935.79 is: 4,401.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.87 : 9,810.35 = 2,935.79 : x
  2. Step 2: Convert to fraction form
    6,542.87/9,810.35 = 2,935.79/x
  3. Step 3: Cross multiply
    6,542.87x = 9,810.35 × 2,935.79
  4. Step 4: Simplify right side
    6,542.87x = 28,801,083.90
  5. Step 5: Solve for x
    x = 28,801,083.90/6,542.87
  6. Step 6: Final answer
    x = 4,401.91

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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.