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Finding the Fourth Proportional to 21,964.52, 32,950.80 and 8,818.20

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Solution

The fourth proportional to 21,964.52, 32,950.80 and 8,818.20 is: 13,228.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,964.52 : 32,950.80 = 8,818.20 : x
  2. Step 2: Convert to fraction form
    21,964.52/32,950.80 = 8,818.20/x
  3. Step 3: Cross multiply
    21,964.52x = 32,950.80 × 8,818.20
  4. Step 4: Simplify right side
    21,964.52x = 290,566,744.56
  5. Step 5: Solve for x
    x = 290,566,744.56/21,964.52
  6. Step 6: Final answer
    x = 13,228.91

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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.