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Finding the Fourth Proportional to 20,790, 31,185 and 6,940.08

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Solution

The fourth proportional to 20,790, 31,185 and 6,940.08 is: 10,410.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,790 : 31,185 = 6,940.08 : x
  2. Step 2: Convert to fraction form
    20,790/31,185 = 6,940.08/x
  3. Step 3: Cross multiply
    20,790x = 31,185 × 6,940.08
  4. Step 4: Simplify right side
    20,790x = 216,426,394.80
  5. Step 5: Solve for x
    x = 216,426,394.80/20,790
  6. Step 6: Final answer
    x = 10,410.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.