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Finding the Fourth Proportional to 29,616, 40,869.74 and 16,187.22

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Solution

The fourth proportional to 29,616, 40,869.74 and 16,187.22 is: 22,338.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,616 : 40,869.74 = 16,187.22 : x
  2. Step 2: Convert to fraction form
    29,616/40,869.74 = 16,187.22/x
  3. Step 3: Cross multiply
    29,616x = 40,869.74 × 16,187.22
  4. Step 4: Simplify right side
    29,616x = 661,567,391.79
  5. Step 5: Solve for x
    x = 661,567,391.79/29,616
  6. Step 6: Final answer
    x = 22,338.18

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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.