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Finding the Fourth Proportional to 20,725, 31,093.58 and 6,684.75

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Solution

The fourth proportional to 20,725, 31,093.58 and 6,684.75 is: 10,029.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,725 : 31,093.58 = 6,684.75 : x
  2. Step 2: Convert to fraction form
    20,725/31,093.58 = 6,684.75/x
  3. Step 3: Cross multiply
    20,725x = 31,093.58 × 6,684.75
  4. Step 4: Simplify right side
    20,725x = 207,852,808.91
  5. Step 5: Solve for x
    x = 207,852,808.91/20,725
  6. Step 6: Final answer
    x = 10,029.09

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1.5x scale

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.