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Finding the Fourth Proportional to 2,896.41, 4,344.51 and 816.57

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Solution

The fourth proportional to 2,896.41, 4,344.51 and 816.57 is: 1,224.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.41 : 4,344.51 = 816.57 : x
  2. Step 2: Convert to fraction form
    2,896.41/4,344.51 = 816.57/x
  3. Step 3: Cross multiply
    2,896.41x = 4,344.51 × 816.57
  4. Step 4: Simplify right side
    2,896.41x = 3,547,596.53
  5. Step 5: Solve for x
    x = 3,547,596.53/2,896.41
  6. Step 6: Final answer
    x = 1,224.83

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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.