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Finding the Fourth Proportional to 21,723, 32,532.24 and 18,585

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Solution

The fourth proportional to 21,723, 32,532.24 and 18,585 is: 27,832.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,723 : 32,532.24 = 18,585 : x
  2. Step 2: Convert to fraction form
    21,723/32,532.24 = 18,585/x
  3. Step 3: Cross multiply
    21,723x = 32,532.24 × 18,585
  4. Step 4: Simplify right side
    21,723x = 604,611,680.40
  5. Step 5: Solve for x
    x = 604,611,680.40/21,723
  6. Step 6: Final answer
    x = 27,832.79

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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.