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Finding the Fourth Proportional to 21,122.93, 31,691.64 and 7,979.06

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Solution

The fourth proportional to 21,122.93, 31,691.64 and 7,979.06 is: 11,971.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,122.93 : 31,691.64 = 7,979.06 : x
  2. Step 2: Convert to fraction form
    21,122.93/31,691.64 = 7,979.06/x
  3. Step 3: Cross multiply
    21,122.93x = 31,691.64 × 7,979.06
  4. Step 4: Simplify right side
    21,122.93x = 252,869,497.06
  5. Step 5: Solve for x
    x = 252,869,497.06/21,122.93
  6. Step 6: Final answer
    x = 11,971.33

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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.