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Finding the Fourth Proportional to 31,995.34, 47,993.11 and 9,808.70

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Solution

The fourth proportional to 31,995.34, 47,993.11 and 9,808.70 is: 14,713.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,995.34 : 47,993.11 = 9,808.70 : x
  2. Step 2: Convert to fraction form
    31,995.34/47,993.11 = 9,808.70/x
  3. Step 3: Cross multiply
    31,995.34x = 47,993.11 × 9,808.70
  4. Step 4: Simplify right side
    31,995.34x = 470,749,753.57
  5. Step 5: Solve for x
    x = 470,749,753.57/31,995.34
  6. Step 6: Final answer
    x = 14,713.07

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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.