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Finding the Fourth Proportional to 31,897, 47,508.56 and 30,231.64

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Solution

The fourth proportional to 31,897, 47,508.56 and 30,231.64 is: 45,028.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,897 : 47,508.56 = 30,231.64 : x
  2. Step 2: Convert to fraction form
    31,897/47,508.56 = 30,231.64/x
  3. Step 3: Cross multiply
    31,897x = 47,508.56 × 30,231.64
  4. Step 4: Simplify right side
    31,897x = 1,436,261,682.84
  5. Step 5: Solve for x
    x = 1,436,261,682.84/31,897
  6. Step 6: Final answer
    x = 45,028.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.