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Finding the Fourth Proportional to 29,465, 40,661.78 and 16,217

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Solution

The fourth proportional to 29,465, 40,661.78 and 16,217 is: 22,379.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,465 : 40,661.78 = 16,217 : x
  2. Step 2: Convert to fraction form
    29,465/40,661.78 = 16,217/x
  3. Step 3: Cross multiply
    29,465x = 40,661.78 × 16,217
  4. Step 4: Simplify right side
    29,465x = 659,412,086.26
  5. Step 5: Solve for x
    x = 659,412,086.26/29,465
  6. Step 6: Final answer
    x = 22,379.50

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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.