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Finding the Fourth Proportional to 36,981, 51,033.78 and 20,214

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Solution

The fourth proportional to 36,981, 51,033.78 and 20,214 is: 27,895.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,981 : 51,033.78 = 20,214 : x
  2. Step 2: Convert to fraction form
    36,981/51,033.78 = 20,214/x
  3. Step 3: Cross multiply
    36,981x = 51,033.78 × 20,214
  4. Step 4: Simplify right side
    36,981x = 1,031,596,828.92
  5. Step 5: Solve for x
    x = 1,031,596,828.92/36,981
  6. Step 6: Final answer
    x = 27,895.32

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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.