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Finding the Fourth Proportional to 36,981.65, 51,035.12 and 20,214.65

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Solution

The fourth proportional to 36,981.65, 51,035.12 and 20,214.65 is: 27,896.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,981.65 : 51,035.12 = 20,214.65 : x
  2. Step 2: Convert to fraction form
    36,981.65/51,035.12 = 20,214.65/x
  3. Step 3: Cross multiply
    36,981.65x = 51,035.12 × 20,214.65
  4. Step 4: Simplify right side
    36,981.65x = 1,031,656,732.26
  5. Step 5: Solve for x
    x = 1,031,656,732.26/36,981.65
  6. Step 6: Final answer
    x = 27,896.45

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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.