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Finding the Fourth Proportional to 31,699.70, 47,531.77 and 21,715.73

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Solution

The fourth proportional to 31,699.70, 47,531.77 and 21,715.73 is: 32,561.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,699.70 : 47,531.77 = 21,715.73 : x
  2. Step 2: Convert to fraction form
    31,699.70/47,531.77 = 21,715.73/x
  3. Step 3: Cross multiply
    31,699.70x = 47,531.77 × 21,715.73
  4. Step 4: Simplify right side
    31,699.70x = 1,032,187,083.74
  5. Step 5: Solve for x
    x = 1,032,187,083.74/31,699.70
  6. Step 6: Final answer
    x = 32,561.41

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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.