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Finding the Fourth Proportional to 9,768.92, 14,658.84 and 3,929.63

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Solution

The fourth proportional to 9,768.92, 14,658.84 and 3,929.63 is: 5,896.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.92 : 14,658.84 = 3,929.63 : x
  2. Step 2: Convert to fraction form
    9,768.92/14,658.84 = 3,929.63/x
  3. Step 3: Cross multiply
    9,768.92x = 14,658.84 × 3,929.63
  4. Step 4: Simplify right side
    9,768.92x = 57,603,744.14
  5. Step 5: Solve for x
    x = 57,603,744.14/9,768.92
  6. Step 6: Final answer
    x = 5,896.64

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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.