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Finding the Fourth Proportional to 21,897.27, 32,847.66 and 8,742.42

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Solution

The fourth proportional to 21,897.27, 32,847.66 and 8,742.42 is: 13,114.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,897.27 : 32,847.66 = 8,742.42 : x
  2. Step 2: Convert to fraction form
    21,897.27/32,847.66 = 8,742.42/x
  3. Step 3: Cross multiply
    21,897.27x = 32,847.66 × 8,742.42
  4. Step 4: Simplify right side
    21,897.27x = 287,168,039.74
  5. Step 5: Solve for x
    x = 287,168,039.74/21,897.27
  6. Step 6: Final answer
    x = 13,114.33

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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.