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Finding the Fourth Proportional to 21,956.28, 32,941.80 and 6,965.85

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Solution

The fourth proportional to 21,956.28, 32,941.80 and 6,965.85 is: 10,451.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,956.28 : 32,941.80 = 6,965.85 : x
  2. Step 2: Convert to fraction form
    21,956.28/32,941.80 = 6,965.85/x
  3. Step 3: Cross multiply
    21,956.28x = 32,941.80 × 6,965.85
  4. Step 4: Simplify right side
    21,956.28x = 229,467,637.53
  5. Step 5: Solve for x
    x = 229,467,637.53/21,956.28
  6. Step 6: Final answer
    x = 10,451.12

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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.