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Finding the Fourth Proportional to 33,987, 51,003.54 and 12,099

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Solution

The fourth proportional to 33,987, 51,003.54 and 12,099 is: 18,156.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,987 : 51,003.54 = 12,099 : x
  2. Step 2: Convert to fraction form
    33,987/51,003.54 = 12,099/x
  3. Step 3: Cross multiply
    33,987x = 51,003.54 × 12,099
  4. Step 4: Simplify right side
    33,987x = 617,091,830.46
  5. Step 5: Solve for x
    x = 617,091,830.46/33,987
  6. Step 6: Final answer
    x = 18,156.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.