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Finding the Fourth Proportional to 31,359.78, 47,043 and 9,173.27

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Solution

The fourth proportional to 31,359.78, 47,043 and 9,173.27 is: 13,760.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,359.78 : 47,043 = 9,173.27 : x
  2. Step 2: Convert to fraction form
    31,359.78/47,043 = 9,173.27/x
  3. Step 3: Cross multiply
    31,359.78x = 47,043 × 9,173.27
  4. Step 4: Simplify right side
    31,359.78x = 431,537,905.40
  5. Step 5: Solve for x
    x = 431,537,905.40/31,359.78
  6. Step 6: Final answer
    x = 13,760.87

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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.