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Finding the Fourth Proportional to 31,560, 47,340.36 and 8,185.02

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Solution

The fourth proportional to 31,560, 47,340.36 and 8,185.02 is: 12,277.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,560 : 47,340.36 = 8,185.02 : x
  2. Step 2: Convert to fraction form
    31,560/47,340.36 = 8,185.02/x
  3. Step 3: Cross multiply
    31,560x = 47,340.36 × 8,185.02
  4. Step 4: Simplify right side
    31,560x = 387,481,793.41
  5. Step 5: Solve for x
    x = 387,481,793.41/31,560
  6. Step 6: Final answer
    x = 12,277.62

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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.