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Finding the Fourth Proportional to 6,438.79, 9,658.28 and 1,821.79

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Solution

The fourth proportional to 6,438.79, 9,658.28 and 1,821.79 is: 2,732.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.79 : 9,658.28 = 1,821.79 : x
  2. Step 2: Convert to fraction form
    6,438.79/9,658.28 = 1,821.79/x
  3. Step 3: Cross multiply
    6,438.79x = 9,658.28 × 1,821.79
  4. Step 4: Simplify right side
    6,438.79x = 17,595,357.92
  5. Step 5: Solve for x
    x = 17,595,357.92/6,438.79
  6. Step 6: Final answer
    x = 2,732.71

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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.