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Finding the Fourth Proportional to 31,393, 47,090.46 and 9,505

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Solution

The fourth proportional to 31,393, 47,090.46 and 9,505 is: 14,257.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,393 : 47,090.46 = 9,505 : x
  2. Step 2: Convert to fraction form
    31,393/47,090.46 = 9,505/x
  3. Step 3: Cross multiply
    31,393x = 47,090.46 × 9,505
  4. Step 4: Simplify right side
    31,393x = 447,594,822.30
  5. Step 5: Solve for x
    x = 447,594,822.30/31,393
  6. Step 6: Final answer
    x = 14,257.79

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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.