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Finding the Fourth Proportional to 31,409.03, 47,120.50 and 10,348.22

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Solution

The fourth proportional to 31,409.03, 47,120.50 and 10,348.22 is: 15,524.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,409.03 : 47,120.50 = 10,348.22 : x
  2. Step 2: Convert to fraction form
    31,409.03/47,120.50 = 10,348.22/x
  3. Step 3: Cross multiply
    31,409.03x = 47,120.50 × 10,348.22
  4. Step 4: Simplify right side
    31,409.03x = 487,613,392.44
  5. Step 5: Solve for x
    x = 487,613,392.44/31,409.03
  6. Step 6: Final answer
    x = 15,524.62

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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.