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Finding the Fourth Proportional to 31,957.70, 47,936.55 and 9,771.07

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Solution

The fourth proportional to 31,957.70, 47,936.55 and 9,771.07 is: 14,656.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,957.70 : 47,936.55 = 9,771.07 : x
  2. Step 2: Convert to fraction form
    31,957.70/47,936.55 = 9,771.07/x
  3. Step 3: Cross multiply
    31,957.70x = 47,936.55 × 9,771.07
  4. Step 4: Simplify right side
    31,957.70x = 468,391,336.75
  5. Step 5: Solve for x
    x = 468,391,336.75/31,957.70
  6. Step 6: Final answer
    x = 14,656.61

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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.