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Finding the Fourth Proportional to 21,984.66, 32,986.08 and 12,123.08

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Solution

The fourth proportional to 21,984.66, 32,986.08 and 12,123.08 is: 18,189.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,984.66 : 32,986.08 = 12,123.08 : x
  2. Step 2: Convert to fraction form
    21,984.66/32,986.08 = 12,123.08/x
  3. Step 3: Cross multiply
    21,984.66x = 32,986.08 × 12,123.08
  4. Step 4: Simplify right side
    21,984.66x = 399,892,886.73
  5. Step 5: Solve for x
    x = 399,892,886.73/21,984.66
  6. Step 6: Final answer
    x = 18,189.63

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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.