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Finding the Fourth Proportional to 31,911.83, 47,874.65 and 9,724.62

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Solution

The fourth proportional to 31,911.83, 47,874.65 and 9,724.62 is: 14,589.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,911.83 : 47,874.65 = 9,724.62 : x
  2. Step 2: Convert to fraction form
    31,911.83/47,874.65 = 9,724.62/x
  3. Step 3: Cross multiply
    31,911.83x = 47,874.65 × 9,724.62
  4. Step 4: Simplify right side
    31,911.83x = 465,562,730.26
  5. Step 5: Solve for x
    x = 465,562,730.26/31,911.83
  6. Step 6: Final answer
    x = 14,589.03

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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.