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Finding the Fourth Proportional to 31,907.26, 47,882.79 and 11,130.76

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Solution

The fourth proportional to 31,907.26, 47,882.79 and 11,130.76 is: 16,703.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,907.26 : 47,882.79 = 11,130.76 : x
  2. Step 2: Convert to fraction form
    31,907.26/47,882.79 = 11,130.76/x
  3. Step 3: Cross multiply
    31,907.26x = 47,882.79 × 11,130.76
  4. Step 4: Simplify right side
    31,907.26x = 532,971,843.62
  5. Step 5: Solve for x
    x = 532,971,843.62/31,907.26
  6. Step 6: Final answer
    x = 16,703.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.