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Finding the Fourth Proportional to 36,988.50, 51,044.31 and 20,221.50

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Solution

The fourth proportional to 36,988.50, 51,044.31 and 20,221.50 is: 27,905.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,988.50 : 51,044.31 = 20,221.50 : x
  2. Step 2: Convert to fraction form
    36,988.50/51,044.31 = 20,221.50/x
  3. Step 3: Cross multiply
    36,988.50x = 51,044.31 × 20,221.50
  4. Step 4: Simplify right side
    36,988.50x = 1,032,192,514.67
  5. Step 5: Solve for x
    x = 1,032,192,514.67/36,988.50
  6. Step 6: Final answer
    x = 27,905.77

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1.5x scale

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.