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Finding the Fourth Proportional to 9,382.70, 14,076.87 and 2,809.10

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Solution

The fourth proportional to 9,382.70, 14,076.87 and 2,809.10 is: 4,214.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.70 : 14,076.87 = 2,809.10 : x
  2. Step 2: Convert to fraction form
    9,382.70/14,076.87 = 2,809.10/x
  3. Step 3: Cross multiply
    9,382.70x = 14,076.87 × 2,809.10
  4. Step 4: Simplify right side
    9,382.70x = 39,543,335.52
  5. Step 5: Solve for x
    x = 39,543,335.52/9,382.70
  6. Step 6: Final answer
    x = 4,214.49

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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.