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Finding the Fourth Proportional to 5,237, 7,857.66 and 2,161.16

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Solution

The fourth proportional to 5,237, 7,857.66 and 2,161.16 is: 3,242.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,237 : 7,857.66 = 2,161.16 : x
  2. Step 2: Convert to fraction form
    5,237/7,857.66 = 2,161.16/x
  3. Step 3: Cross multiply
    5,237x = 7,857.66 × 2,161.16
  4. Step 4: Simplify right side
    5,237x = 16,981,660.49
  5. Step 5: Solve for x
    x = 16,981,660.49/5,237
  6. Step 6: Final answer
    x = 3,242.63

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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.