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Finding the Fourth Proportional to 31,709.80, 47,564.70 and 21,212.20

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Solution

The fourth proportional to 31,709.80, 47,564.70 and 21,212.20 is: 31,818.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,709.80 : 47,564.70 = 21,212.20 : x
  2. Step 2: Convert to fraction form
    31,709.80/47,564.70 = 21,212.20/x
  3. Step 3: Cross multiply
    31,709.80x = 47,564.70 × 21,212.20
  4. Step 4: Simplify right side
    31,709.80x = 1,008,951,929.34
  5. Step 5: Solve for x
    x = 1,008,951,929.34/31,709.80
  6. Step 6: Final answer
    x = 31,818.30

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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.