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Finding the Fourth Proportional to 31,989.40, 47,943.60 and 12,241.60

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Solution

The fourth proportional to 31,989.40, 47,943.60 and 12,241.60 is: 18,346.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,989.40 : 47,943.60 = 12,241.60 : x
  2. Step 2: Convert to fraction form
    31,989.40/47,943.60 = 12,241.60/x
  3. Step 3: Cross multiply
    31,989.40x = 47,943.60 × 12,241.60
  4. Step 4: Simplify right side
    31,989.40x = 586,906,373.76
  5. Step 5: Solve for x
    x = 586,906,373.76/31,989.40
  6. Step 6: Final answer
    x = 18,346.90

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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.