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Finding the Fourth Proportional to 2,812.50, 3,882.06 and 1,881

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Solution

The fourth proportional to 2,812.50, 3,882.06 and 1,881 is: 2,596.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.50 : 3,882.06 = 1,881 : x
  2. Step 2: Convert to fraction form
    2,812.50/3,882.06 = 1,881/x
  3. Step 3: Cross multiply
    2,812.50x = 3,882.06 × 1,881
  4. Step 4: Simplify right side
    2,812.50x = 7,302,154.86
  5. Step 5: Solve for x
    x = 7,302,154.86/2,812.50
  6. Step 6: Final answer
    x = 2,596.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.