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Finding the Fourth Proportional to 6,542.24, 9,788.88 and 3,900.08

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Solution

The fourth proportional to 6,542.24, 9,788.88 and 3,900.08 is: 5,835.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.24 : 9,788.88 = 3,900.08 : x
  2. Step 2: Convert to fraction form
    6,542.24/9,788.88 = 3,900.08/x
  3. Step 3: Cross multiply
    6,542.24x = 9,788.88 × 3,900.08
  4. Step 4: Simplify right side
    6,542.24x = 38,177,415.11
  5. Step 5: Solve for x
    x = 38,177,415.11/6,542.24
  6. Step 6: Final answer
    x = 5,835.53

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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.