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Finding the Fourth Proportional to 3,767, 5,198.30 and 2,088.40

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Solution

The fourth proportional to 3,767, 5,198.30 and 2,088.40 is: 2,881.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767 : 5,198.30 = 2,088.40 : x
  2. Step 2: Convert to fraction form
    3,767/5,198.30 = 2,088.40/x
  3. Step 3: Cross multiply
    3,767x = 5,198.30 × 2,088.40
  4. Step 4: Simplify right side
    3,767x = 10,856,129.72
  5. Step 5: Solve for x
    x = 10,856,129.72/3,767
  6. Step 6: Final answer
    x = 2,881.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.