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Finding the Fourth Proportional to 20,658.13, 31,171.83 and 20,658.13

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Solution

The fourth proportional to 20,658.13, 31,171.83 and 20,658.13 is: 31,171.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,658.13 : 31,171.83 = 20,658.13 : x
  2. Step 2: Convert to fraction form
    20,658.13/31,171.83 = 20,658.13/x
  3. Step 3: Cross multiply
    20,658.13x = 31,171.83 × 20,658.13
  4. Step 4: Simplify right side
    20,658.13x = 643,951,599.81
  5. Step 5: Solve for x
    x = 643,951,599.81/20,658.13
  6. Step 6: Final answer
    x = 31,171.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.