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Finding the Fourth Proportional to 2,896.50, 4,344.11 and 816.62

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Solution

The fourth proportional to 2,896.50, 4,344.11 and 816.62 is: 1,224.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.50 : 4,344.11 = 816.62 : x
  2. Step 2: Convert to fraction form
    2,896.50/4,344.11 = 816.62/x
  3. Step 3: Cross multiply
    2,896.50x = 4,344.11 × 816.62
  4. Step 4: Simplify right side
    2,896.50x = 3,547,487.11
  5. Step 5: Solve for x
    x = 3,547,487.11/2,896.50
  6. Step 6: Final answer
    x = 1,224.75

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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.