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Finding the Fourth Proportional to 2,882.76, 4,321.50 and 1,401.12

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Solution

The fourth proportional to 2,882.76, 4,321.50 and 1,401.12 is: 2,100.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.76 : 4,321.50 = 1,401.12 : x
  2. Step 2: Convert to fraction form
    2,882.76/4,321.50 = 1,401.12/x
  3. Step 3: Cross multiply
    2,882.76x = 4,321.50 × 1,401.12
  4. Step 4: Simplify right side
    2,882.76x = 6,054,940.08
  5. Step 5: Solve for x
    x = 6,054,940.08/2,882.76
  6. Step 6: Final answer
    x = 2,100.40

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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.