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Finding the Fourth Proportional to 31,921.44, 47,889.92 and 9,735.21

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Solution

The fourth proportional to 31,921.44, 47,889.92 and 9,735.21 is: 14,605.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,921.44 : 47,889.92 = 9,735.21 : x
  2. Step 2: Convert to fraction form
    31,921.44/47,889.92 = 9,735.21/x
  3. Step 3: Cross multiply
    31,921.44x = 47,889.92 × 9,735.21
  4. Step 4: Simplify right side
    31,921.44x = 466,218,379.41
  5. Step 5: Solve for x
    x = 466,218,379.41/31,921.44
  6. Step 6: Final answer
    x = 14,605.18

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1.5x scale

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.