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Finding the Fourth Proportional to 31,894.61, 47,810.69 and 11,889.46

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Solution

The fourth proportional to 31,894.61, 47,810.69 and 11,889.46 is: 17,822.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,894.61 : 47,810.69 = 11,889.46 : x
  2. Step 2: Convert to fraction form
    31,894.61/47,810.69 = 11,889.46/x
  3. Step 3: Cross multiply
    31,894.61x = 47,810.69 × 11,889.46
  4. Step 4: Simplify right side
    31,894.61x = 568,442,987.83
  5. Step 5: Solve for x
    x = 568,442,987.83/31,894.61
  6. Step 6: Final answer
    x = 17,822.54

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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.