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Finding the Fourth Proportional to 10,807.50, 16,212.60 and 3,882

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Solution

The fourth proportional to 10,807.50, 16,212.60 and 3,882 is: 5,823.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.50 : 16,212.60 = 3,882 : x
  2. Step 2: Convert to fraction form
    10,807.50/16,212.60 = 3,882/x
  3. Step 3: Cross multiply
    10,807.50x = 16,212.60 × 3,882
  4. Step 4: Simplify right side
    10,807.50x = 62,937,313.20
  5. Step 5: Solve for x
    x = 62,937,313.20/10,807.50
  6. Step 6: Final answer
    x = 5,823.48

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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.