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Finding the Fourth Proportional to 21,782.46, 32,621.06 and 12,394.03

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Solution

The fourth proportional to 21,782.46, 32,621.06 and 12,394.03 is: 18,561.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,782.46 : 32,621.06 = 12,394.03 : x
  2. Step 2: Convert to fraction form
    21,782.46/32,621.06 = 12,394.03/x
  3. Step 3: Cross multiply
    21,782.46x = 32,621.06 × 12,394.03
  4. Step 4: Simplify right side
    21,782.46x = 404,306,334.30
  5. Step 5: Solve for x
    x = 404,306,334.30/21,782.46
  6. Step 6: Final answer
    x = 18,561.10

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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.