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Finding the Fourth Proportional to 21,886.20, 32,829.76 and 7,847.14

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Solution

The fourth proportional to 21,886.20, 32,829.76 and 7,847.14 is: 11,770.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,886.20 : 32,829.76 = 7,847.14 : x
  2. Step 2: Convert to fraction form
    21,886.20/32,829.76 = 7,847.14/x
  3. Step 3: Cross multiply
    21,886.20x = 32,829.76 × 7,847.14
  4. Step 4: Simplify right side
    21,886.20x = 257,619,722.89
  5. Step 5: Solve for x
    x = 257,619,722.89/21,886.20
  6. Step 6: Final answer
    x = 11,770.87

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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.