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Finding the Fourth Proportional to 31,821, 47,722.32 and 9,629.16

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Solution

The fourth proportional to 31,821, 47,722.32 and 9,629.16 is: 14,440.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,821 : 47,722.32 = 9,629.16 : x
  2. Step 2: Convert to fraction form
    31,821/47,722.32 = 9,629.16/x
  3. Step 3: Cross multiply
    31,821x = 47,722.32 × 9,629.16
  4. Step 4: Simplify right side
    31,821x = 459,525,854.85
  5. Step 5: Solve for x
    x = 459,525,854.85/31,821
  6. Step 6: Final answer
    x = 14,440.96

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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.