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Finding the Fourth Proportional to 31,958.70, 47,938.05 and 9,772.07

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Solution

The fourth proportional to 31,958.70, 47,938.05 and 9,772.07 is: 14,658.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,958.70 : 47,938.05 = 9,772.07 : x
  2. Step 2: Convert to fraction form
    31,958.70/47,938.05 = 9,772.07/x
  3. Step 3: Cross multiply
    31,958.70x = 47,938.05 × 9,772.07
  4. Step 4: Simplify right side
    31,958.70x = 468,453,980.26
  5. Step 5: Solve for x
    x = 468,453,980.26/31,958.70
  6. Step 6: Final answer
    x = 14,658.11

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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.