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Finding the Fourth Proportional to 31,907.30, 47,861 and 8,533.74

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Solution

The fourth proportional to 31,907.30, 47,861 and 8,533.74 is: 12,800.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,907.30 : 47,861 = 8,533.74 : x
  2. Step 2: Convert to fraction form
    31,907.30/47,861 = 8,533.74/x
  3. Step 3: Cross multiply
    31,907.30x = 47,861 × 8,533.74
  4. Step 4: Simplify right side
    31,907.30x = 408,433,330.14
  5. Step 5: Solve for x
    x = 408,433,330.14/31,907.30
  6. Step 6: Final answer
    x = 12,800.62

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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.