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Finding the Fourth Proportional to 2,215, 3,322.14 and 1,563.76

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Solution

The fourth proportional to 2,215, 3,322.14 and 1,563.76 is: 2,345.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215 : 3,322.14 = 1,563.76 : x
  2. Step 2: Convert to fraction form
    2,215/3,322.14 = 1,563.76/x
  3. Step 3: Cross multiply
    2,215x = 3,322.14 × 1,563.76
  4. Step 4: Simplify right side
    2,215x = 5,195,029.65
  5. Step 5: Solve for x
    x = 5,195,029.65/2,215
  6. Step 6: Final answer
    x = 2,345.39

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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.