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Finding the Fourth Proportional to 31,866.03, 47,755.98 and 12,133.82

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Solution

The fourth proportional to 31,866.03, 47,755.98 and 12,133.82 is: 18,184.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,866.03 : 47,755.98 = 12,133.82 : x
  2. Step 2: Convert to fraction form
    31,866.03/47,755.98 = 12,133.82/x
  3. Step 3: Cross multiply
    31,866.03x = 47,755.98 × 12,133.82
  4. Step 4: Simplify right side
    31,866.03x = 579,462,345.85
  5. Step 5: Solve for x
    x = 579,462,345.85/31,866.03
  6. Step 6: Final answer
    x = 18,184.33

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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.