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Finding the Fourth Proportional to 31,203.40, 46,799.70 and 11,471.80

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Solution

The fourth proportional to 31,203.40, 46,799.70 and 11,471.80 is: 17,205.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,203.40 : 46,799.70 = 11,471.80 : x
  2. Step 2: Convert to fraction form
    31,203.40/46,799.70 = 11,471.80/x
  3. Step 3: Cross multiply
    31,203.40x = 46,799.70 × 11,471.80
  4. Step 4: Simplify right side
    31,203.40x = 536,876,798.46
  5. Step 5: Solve for x
    x = 536,876,798.46/31,203.40
  6. Step 6: Final answer
    x = 17,205.71

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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.