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Finding the Fourth Proportional to 31,719, 47,578.50 and 9,831

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Solution

The fourth proportional to 31,719, 47,578.50 and 9,831 is: 14,746.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,719 : 47,578.50 = 9,831 : x
  2. Step 2: Convert to fraction form
    31,719/47,578.50 = 9,831/x
  3. Step 3: Cross multiply
    31,719x = 47,578.50 × 9,831
  4. Step 4: Simplify right side
    31,719x = 467,744,233.50
  5. Step 5: Solve for x
    x = 467,744,233.50/31,719
  6. Step 6: Final answer
    x = 14,746.50

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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.