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Finding the Fourth Proportional to 21,486.65, 32,231.52 and 8,994.08

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Solution

The fourth proportional to 21,486.65, 32,231.52 and 8,994.08 is: 13,491.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,486.65 : 32,231.52 = 8,994.08 : x
  2. Step 2: Convert to fraction form
    21,486.65/32,231.52 = 8,994.08/x
  3. Step 3: Cross multiply
    21,486.65x = 32,231.52 × 8,994.08
  4. Step 4: Simplify right side
    21,486.65x = 289,892,949.98
  5. Step 5: Solve for x
    x = 289,892,949.98/21,486.65
  6. Step 6: Final answer
    x = 13,491.77

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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.