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Finding the Fourth Proportional to 31,573, 47,359.86 and 9,385.80

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Solution

The fourth proportional to 31,573, 47,359.86 and 9,385.80 is: 14,078.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,573 : 47,359.86 = 9,385.80 : x
  2. Step 2: Convert to fraction form
    31,573/47,359.86 = 9,385.80/x
  3. Step 3: Cross multiply
    31,573x = 47,359.86 × 9,385.80
  4. Step 4: Simplify right side
    31,573x = 444,510,173.99
  5. Step 5: Solve for x
    x = 444,510,173.99/31,573
  6. Step 6: Final answer
    x = 14,078.81

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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.