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Finding the Fourth Proportional to 21,991.85, 32,987.30 and 5,351.97

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Solution

The fourth proportional to 21,991.85, 32,987.30 and 5,351.97 is: 8,027.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,991.85 : 32,987.30 = 5,351.97 : x
  2. Step 2: Convert to fraction form
    21,991.85/32,987.30 = 5,351.97/x
  3. Step 3: Cross multiply
    21,991.85x = 32,987.30 × 5,351.97
  4. Step 4: Simplify right side
    21,991.85x = 176,547,013.22
  5. Step 5: Solve for x
    x = 176,547,013.22/21,991.85
  6. Step 6: Final answer
    x = 8,027.84

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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.