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Finding the Fourth Proportional to 20,998.65, 31,497.98 and 20,512.65

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Solution

The fourth proportional to 20,998.65, 31,497.98 and 20,512.65 is: 30,768.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,998.65 : 31,497.98 = 20,512.65 : x
  2. Step 2: Convert to fraction form
    20,998.65/31,497.98 = 20,512.65/x
  3. Step 3: Cross multiply
    20,998.65x = 31,497.98 × 20,512.65
  4. Step 4: Simplify right side
    20,998.65x = 646,106,936.88
  5. Step 5: Solve for x
    x = 646,106,936.88/20,998.65
  6. Step 6: Final answer
    x = 30,768.98

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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.