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Finding the Fourth Proportional to 31,772.40, 47,658.60 and 30,562.80

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Solution

The fourth proportional to 31,772.40, 47,658.60 and 30,562.80 is: 45,844.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,772.40 : 47,658.60 = 30,562.80 : x
  2. Step 2: Convert to fraction form
    31,772.40/47,658.60 = 30,562.80/x
  3. Step 3: Cross multiply
    31,772.40x = 47,658.60 × 30,562.80
  4. Step 4: Simplify right side
    31,772.40x = 1,456,580,260.08
  5. Step 5: Solve for x
    x = 1,456,580,260.08/31,772.40
  6. Step 6: Final answer
    x = 45,844.20

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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.