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Finding the Fourth Proportional to 29,969.92, 41,326.08 and 20,416

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Solution

The fourth proportional to 29,969.92, 41,326.08 and 20,416 is: 28,152.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,969.92 : 41,326.08 = 20,416 : x
  2. Step 2: Convert to fraction form
    29,969.92/41,326.08 = 20,416/x
  3. Step 3: Cross multiply
    29,969.92x = 41,326.08 × 20,416
  4. Step 4: Simplify right side
    29,969.92x = 843,713,249.28
  5. Step 5: Solve for x
    x = 843,713,249.28/29,969.92
  6. Step 6: Final answer
    x = 28,152.00

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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.