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Finding the Fourth Proportional to 31,375.34, 47,062.70 and 7,683

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Solution

The fourth proportional to 31,375.34, 47,062.70 and 7,683 is: 11,524.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,375.34 : 47,062.70 = 7,683 : x
  2. Step 2: Convert to fraction form
    31,375.34/47,062.70 = 7,683/x
  3. Step 3: Cross multiply
    31,375.34x = 47,062.70 × 7,683
  4. Step 4: Simplify right side
    31,375.34x = 361,582,724.10
  5. Step 5: Solve for x
    x = 361,582,724.10/31,375.34
  6. Step 6: Final answer
    x = 11,524.42

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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.