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Finding the Fourth Proportional to 22,660, 34,004.40 and 11,716

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Solution

The fourth proportional to 22,660, 34,004.40 and 11,716 is: 17,581.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,660 : 34,004.40 = 11,716 : x
  2. Step 2: Convert to fraction form
    22,660/34,004.40 = 11,716/x
  3. Step 3: Cross multiply
    22,660x = 34,004.40 × 11,716
  4. Step 4: Simplify right side
    22,660x = 398,395,550.40
  5. Step 5: Solve for x
    x = 398,395,550.40/22,660
  6. Step 6: Final answer
    x = 17,581.45

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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.