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Finding the Fourth Proportional to 36,987, 51,042.87 and 20,220

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Solution

The fourth proportional to 36,987, 51,042.87 and 20,220 is: 27,904.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,987 : 51,042.87 = 20,220 : x
  2. Step 2: Convert to fraction form
    36,987/51,042.87 = 20,220/x
  3. Step 3: Cross multiply
    36,987x = 51,042.87 × 20,220
  4. Step 4: Simplify right side
    36,987x = 1,032,086,831.40
  5. Step 5: Solve for x
    x = 1,032,086,831.40/36,987
  6. Step 6: Final answer
    x = 27,904.04

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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.