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Finding the Fourth Proportional to 28,991.25, 40,007.93 and 16,416

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Solution

The fourth proportional to 28,991.25, 40,007.93 and 16,416 is: 22,654.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,991.25 : 40,007.93 = 16,416 : x
  2. Step 2: Convert to fraction form
    28,991.25/40,007.93 = 16,416/x
  3. Step 3: Cross multiply
    28,991.25x = 40,007.93 × 16,416
  4. Step 4: Simplify right side
    28,991.25x = 656,770,096.80
  5. Step 5: Solve for x
    x = 656,770,096.80/28,991.25
  6. Step 6: Final answer
    x = 22,654.08

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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.