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Finding the Fourth Proportional to 9,991, 14,987.22 and 3,835

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Solution

The fourth proportional to 9,991, 14,987.22 and 3,835 is: 5,752.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991 : 14,987.22 = 3,835 : x
  2. Step 2: Convert to fraction form
    9,991/14,987.22 = 3,835/x
  3. Step 3: Cross multiply
    9,991x = 14,987.22 × 3,835
  4. Step 4: Simplify right side
    9,991x = 57,475,988.70
  5. Step 5: Solve for x
    x = 57,475,988.70/9,991
  6. Step 6: Final answer
    x = 5,752.78

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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.