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Finding the Fourth Proportional to 31,778.68, 47,668.04 and 11,002.20

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Solution

The fourth proportional to 31,778.68, 47,668.04 and 11,002.20 is: 16,503.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,778.68 : 47,668.04 = 11,002.20 : x
  2. Step 2: Convert to fraction form
    31,778.68/47,668.04 = 11,002.20/x
  3. Step 3: Cross multiply
    31,778.68x = 47,668.04 × 11,002.20
  4. Step 4: Simplify right side
    31,778.68x = 524,453,309.69
  5. Step 5: Solve for x
    x = 524,453,309.69/31,778.68
  6. Step 6: Final answer
    x = 16,503.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.