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Finding the Fourth Proportional to 31,323.40, 47,033.70 and 18,201.40

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Solution

The fourth proportional to 31,323.40, 47,033.70 and 18,201.40 is: 27,330.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,323.40 : 47,033.70 = 18,201.40 : x
  2. Step 2: Convert to fraction form
    31,323.40/47,033.70 = 18,201.40/x
  3. Step 3: Cross multiply
    31,323.40x = 47,033.70 × 18,201.40
  4. Step 4: Simplify right side
    31,323.40x = 856,079,187.18
  5. Step 5: Solve for x
    x = 856,079,187.18/31,323.40
  6. Step 6: Final answer
    x = 27,330.34

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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.