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Finding the Fourth Proportional to 31,664, 43,692.54 and 17,514.92

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Solution

The fourth proportional to 31,664, 43,692.54 and 17,514.92 is: 24,168.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,664 : 43,692.54 = 17,514.92 : x
  2. Step 2: Convert to fraction form
    31,664/43,692.54 = 17,514.92/x
  3. Step 3: Cross multiply
    31,664x = 43,692.54 × 17,514.92
  4. Step 4: Simplify right side
    31,664x = 765,271,342.70
  5. Step 5: Solve for x
    x = 765,271,342.70/31,664
  6. Step 6: Final answer
    x = 24,168.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.