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Finding the Fourth Proportional to 31,859.88, 47,795.46 and 12,140.28

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Solution

The fourth proportional to 31,859.88, 47,795.46 and 12,140.28 is: 18,212.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,859.88 : 47,795.46 = 12,140.28 : x
  2. Step 2: Convert to fraction form
    31,859.88/47,795.46 = 12,140.28/x
  3. Step 3: Cross multiply
    31,859.88x = 47,795.46 × 12,140.28
  4. Step 4: Simplify right side
    31,859.88x = 580,250,267.13
  5. Step 5: Solve for x
    x = 580,250,267.13/31,859.88
  6. Step 6: Final answer
    x = 18,212.57

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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.