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Finding the Fourth Proportional to 21,796.32, 32,677.20 and 8,652

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Solution

The fourth proportional to 21,796.32, 32,677.20 and 8,652 is: 12,971.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,796.32 : 32,677.20 = 8,652 : x
  2. Step 2: Convert to fraction form
    21,796.32/32,677.20 = 8,652/x
  3. Step 3: Cross multiply
    21,796.32x = 32,677.20 × 8,652
  4. Step 4: Simplify right side
    21,796.32x = 282,723,134.40
  5. Step 5: Solve for x
    x = 282,723,134.40/21,796.32
  6. Step 6: Final answer
    x = 12,971.14

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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.