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Finding the Fourth Proportional to 31,980.60, 47,966.58 and 8,608.44

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Solution

The fourth proportional to 31,980.60, 47,966.58 and 8,608.44 is: 12,911.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,980.60 : 47,966.58 = 8,608.44 : x
  2. Step 2: Convert to fraction form
    31,980.60/47,966.58 = 8,608.44/x
  3. Step 3: Cross multiply
    31,980.60x = 47,966.58 × 8,608.44
  4. Step 4: Simplify right side
    31,980.60x = 412,917,425.94
  5. Step 5: Solve for x
    x = 412,917,425.94/31,980.60
  6. Step 6: Final answer
    x = 12,911.50

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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.