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Finding the Fourth Proportional to 19,991.73, 29,988 and 5,199.78

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Solution

The fourth proportional to 19,991.73, 29,988 and 5,199.78 is: 7,799.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,991.73 : 29,988 = 5,199.78 : x
  2. Step 2: Convert to fraction form
    19,991.73/29,988 = 5,199.78/x
  3. Step 3: Cross multiply
    19,991.73x = 29,988 × 5,199.78
  4. Step 4: Simplify right side
    19,991.73x = 155,931,002.64
  5. Step 5: Solve for x
    x = 155,931,002.64/19,991.73
  6. Step 6: Final answer
    x = 7,799.78

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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.