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Finding the Fourth Proportional to 17,220.10, 23,761.78 and 9,665.41

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Solution

The fourth proportional to 17,220.10, 23,761.78 and 9,665.41 is: 13,337.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,220.10 : 23,761.78 = 9,665.41 : x
  2. Step 2: Convert to fraction form
    17,220.10/23,761.78 = 9,665.41/x
  3. Step 3: Cross multiply
    17,220.10x = 23,761.78 × 9,665.41
  4. Step 4: Simplify right side
    17,220.10x = 229,667,346.03
  5. Step 5: Solve for x
    x = 229,667,346.03/17,220.10
  6. Step 6: Final answer
    x = 13,337.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.