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Finding the Fourth Proportional to 31,569, 47,353.86 and 8,194.02

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Solution

The fourth proportional to 31,569, 47,353.86 and 8,194.02 is: 12,291.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,569 : 47,353.86 = 8,194.02 : x
  2. Step 2: Convert to fraction form
    31,569/47,353.86 = 8,194.02/x
  3. Step 3: Cross multiply
    31,569x = 47,353.86 × 8,194.02
  4. Step 4: Simplify right side
    31,569x = 388,018,475.92
  5. Step 5: Solve for x
    x = 388,018,475.92/31,569
  6. Step 6: Final answer
    x = 12,291.12

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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.