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Finding the Fourth Proportional to 10,640.16, 15,960.24 and 4,789.94

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Solution

The fourth proportional to 10,640.16, 15,960.24 and 4,789.94 is: 7,184.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.16 : 15,960.24 = 4,789.94 : x
  2. Step 2: Convert to fraction form
    10,640.16/15,960.24 = 4,789.94/x
  3. Step 3: Cross multiply
    10,640.16x = 15,960.24 × 4,789.94
  4. Step 4: Simplify right side
    10,640.16x = 76,448,591.99
  5. Step 5: Solve for x
    x = 76,448,591.99/10,640.16
  6. Step 6: Final answer
    x = 7,184.91

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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.