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Finding the Fourth Proportional to 31,953.20, 47,913.60 and 18,809.60

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Solution

The fourth proportional to 31,953.20, 47,913.60 and 18,809.60 is: 28,204.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,953.20 : 47,913.60 = 18,809.60 : x
  2. Step 2: Convert to fraction form
    31,953.20/47,913.60 = 18,809.60/x
  3. Step 3: Cross multiply
    31,953.20x = 47,913.60 × 18,809.60
  4. Step 4: Simplify right side
    31,953.20x = 901,235,650.56
  5. Step 5: Solve for x
    x = 901,235,650.56/31,953.20
  6. Step 6: Final answer
    x = 28,204.86

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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.