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Finding the Fourth Proportional to 29,816.50, 41,155.41 and 19,880.50

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Solution

The fourth proportional to 29,816.50, 41,155.41 and 19,880.50 is: 27,440.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,816.50 : 41,155.41 = 19,880.50 : x
  2. Step 2: Convert to fraction form
    29,816.50/41,155.41 = 19,880.50/x
  3. Step 3: Cross multiply
    29,816.50x = 41,155.41 × 19,880.50
  4. Step 4: Simplify right side
    29,816.50x = 818,190,128.51
  5. Step 5: Solve for x
    x = 818,190,128.51/29,816.50
  6. Step 6: Final answer
    x = 27,440.85

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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.