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Finding the Fourth Proportional to 31,497.91, 47,255.47 and 9,311.27

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Solution

The fourth proportional to 31,497.91, 47,255.47 and 9,311.27 is: 13,969.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,497.91 : 47,255.47 = 9,311.27 : x
  2. Step 2: Convert to fraction form
    31,497.91/47,255.47 = 9,311.27/x
  3. Step 3: Cross multiply
    31,497.91x = 47,255.47 × 9,311.27
  4. Step 4: Simplify right side
    31,497.91x = 440,008,446.40
  5. Step 5: Solve for x
    x = 440,008,446.40/31,497.91
  6. Step 6: Final answer
    x = 13,969.45

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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.