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Finding the Fourth Proportional to 27,778.32, 41,658.84 and 9,306

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Solution

The fourth proportional to 27,778.32, 41,658.84 and 9,306 is: 13,956.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,778.32 : 41,658.84 = 9,306 : x
  2. Step 2: Convert to fraction form
    27,778.32/41,658.84 = 9,306/x
  3. Step 3: Cross multiply
    27,778.32x = 41,658.84 × 9,306
  4. Step 4: Simplify right side
    27,778.32x = 387,677,165.04
  5. Step 5: Solve for x
    x = 387,677,165.04/27,778.32
  6. Step 6: Final answer
    x = 13,956.11

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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.