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Finding the Fourth Proportional to 31,990.70, 47,989.65 and 9,803.90

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Solution

The fourth proportional to 31,990.70, 47,989.65 and 9,803.90 is: 14,706.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,990.70 : 47,989.65 = 9,803.90 : x
  2. Step 2: Convert to fraction form
    31,990.70/47,989.65 = 9,803.90/x
  3. Step 3: Cross multiply
    31,990.70x = 47,989.65 × 9,803.90
  4. Step 4: Simplify right side
    31,990.70x = 470,485,729.64
  5. Step 5: Solve for x
    x = 470,485,729.64/31,990.70
  6. Step 6: Final answer
    x = 14,706.95

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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.