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Finding the Fourth Proportional to 9,299.84, 13,949.79 and 2,279.89

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Solution

The fourth proportional to 9,299.84, 13,949.79 and 2,279.89 is: 3,419.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299.84 : 13,949.79 = 2,279.89 : x
  2. Step 2: Convert to fraction form
    9,299.84/13,949.79 = 2,279.89/x
  3. Step 3: Cross multiply
    9,299.84x = 13,949.79 × 2,279.89
  4. Step 4: Simplify right side
    9,299.84x = 31,803,905.57
  5. Step 5: Solve for x
    x = 31,803,905.57/9,299.84
  6. Step 6: Final answer
    x = 3,419.83

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1.5x scale

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.