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Finding the Fourth Proportional to 21,401.80, 32,081.10 and 9,723.40

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Solution

The fourth proportional to 21,401.80, 32,081.10 and 9,723.40 is: 14,575.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,401.80 : 32,081.10 = 9,723.40 : x
  2. Step 2: Convert to fraction form
    21,401.80/32,081.10 = 9,723.40/x
  3. Step 3: Cross multiply
    21,401.80x = 32,081.10 × 9,723.40
  4. Step 4: Simplify right side
    21,401.80x = 311,937,367.74
  5. Step 5: Solve for x
    x = 311,937,367.74/21,401.80
  6. Step 6: Final answer
    x = 14,575.29

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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.