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Finding the Fourth Proportional to 31,741.72, 47,636.48 and 21,722.48

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Solution

The fourth proportional to 31,741.72, 47,636.48 and 21,722.48 is: 32,600.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,741.72 : 47,636.48 = 21,722.48 : x
  2. Step 2: Convert to fraction form
    31,741.72/47,636.48 = 21,722.48/x
  3. Step 3: Cross multiply
    31,741.72x = 47,636.48 × 21,722.48
  4. Step 4: Simplify right side
    31,741.72x = 1,034,782,484.07
  5. Step 5: Solve for x
    x = 1,034,782,484.07/31,741.72
  6. Step 6: Final answer
    x = 32,600.08

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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.