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Finding the Fourth Proportional to 31,728.40, 47,550.60 and 16,905.40

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Solution

The fourth proportional to 31,728.40, 47,550.60 and 16,905.40 is: 25,335.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,728.40 : 47,550.60 = 16,905.40 : x
  2. Step 2: Convert to fraction form
    31,728.40/47,550.60 = 16,905.40/x
  3. Step 3: Cross multiply
    31,728.40x = 47,550.60 × 16,905.40
  4. Step 4: Simplify right side
    31,728.40x = 803,861,913.24
  5. Step 5: Solve for x
    x = 803,861,913.24/31,728.40
  6. Step 6: Final answer
    x = 25,335.72

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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.