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Finding the Fourth Proportional to 36,980, 51,032.88 and 20,213.36

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Solution

The fourth proportional to 36,980, 51,032.88 and 20,213.36 is: 27,894.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,980 : 51,032.88 = 20,213.36 : x
  2. Step 2: Convert to fraction form
    36,980/51,032.88 = 20,213.36/x
  3. Step 3: Cross multiply
    36,980x = 51,032.88 × 20,213.36
  4. Step 4: Simplify right side
    36,980x = 1,031,545,975.28
  5. Step 5: Solve for x
    x = 1,031,545,975.28/36,980
  6. Step 6: Final answer
    x = 27,894.70

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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.