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Finding the Fourth Proportional to 22,401.80, 33,610.25 and 9,920.10

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Solution

The fourth proportional to 22,401.80, 33,610.25 and 9,920.10 is: 14,883.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,401.80 : 33,610.25 = 9,920.10 : x
  2. Step 2: Convert to fraction form
    22,401.80/33,610.25 = 9,920.10/x
  3. Step 3: Cross multiply
    22,401.80x = 33,610.25 × 9,920.10
  4. Step 4: Simplify right side
    22,401.80x = 333,417,065.83
  5. Step 5: Solve for x
    x = 333,417,065.83/22,401.80
  6. Step 6: Final answer
    x = 14,883.50

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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.