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Finding the Fourth Proportional to 21,808.30, 32,722.17 and 7,954.06

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Solution

The fourth proportional to 21,808.30, 32,722.17 and 7,954.06 is: 11,934.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,808.30 : 32,722.17 = 7,954.06 : x
  2. Step 2: Convert to fraction form
    21,808.30/32,722.17 = 7,954.06/x
  3. Step 3: Cross multiply
    21,808.30x = 32,722.17 × 7,954.06
  4. Step 4: Simplify right side
    21,808.30x = 260,274,215.14
  5. Step 5: Solve for x
    x = 260,274,215.14/21,808.30
  6. Step 6: Final answer
    x = 11,934.64

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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.