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Finding the Fourth Proportional to 3,391.72, 5,063.12 and 2,896

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Solution

The fourth proportional to 3,391.72, 5,063.12 and 2,896 is: 4,323.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,391.72 : 5,063.12 = 2,896 : x
  2. Step 2: Convert to fraction form
    3,391.72/5,063.12 = 2,896/x
  3. Step 3: Cross multiply
    3,391.72x = 5,063.12 × 2,896
  4. Step 4: Simplify right side
    3,391.72x = 14,662,795.52
  5. Step 5: Solve for x
    x = 14,662,795.52/3,391.72
  6. Step 6: Final answer
    x = 4,323.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.