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Finding the Fourth Proportional to 21,987.72, 32,981.31 and 5,347.76

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Solution

The fourth proportional to 21,987.72, 32,981.31 and 5,347.76 is: 8,021.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,987.72 : 32,981.31 = 5,347.76 : x
  2. Step 2: Convert to fraction form
    21,987.72/32,981.31 = 5,347.76/x
  3. Step 3: Cross multiply
    21,987.72x = 32,981.31 × 5,347.76
  4. Step 4: Simplify right side
    21,987.72x = 176,375,965.46
  5. Step 5: Solve for x
    x = 176,375,965.46/21,987.72
  6. Step 6: Final answer
    x = 8,021.57

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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.