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Finding the Fourth Proportional to 10,658.79, 15,977.25 and 4,083.21

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Solution

The fourth proportional to 10,658.79, 15,977.25 and 4,083.21 is: 6,120.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.79 : 15,977.25 = 4,083.21 : x
  2. Step 2: Convert to fraction form
    10,658.79/15,977.25 = 4,083.21/x
  3. Step 3: Cross multiply
    10,658.79x = 15,977.25 × 4,083.21
  4. Step 4: Simplify right side
    10,658.79x = 65,238,466.97
  5. Step 5: Solve for x
    x = 65,238,466.97/10,658.79
  6. Step 6: Final answer
    x = 6,120.63

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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.