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Finding the Fourth Proportional to 31,108, 46,662 and 9,220

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Solution

The fourth proportional to 31,108, 46,662 and 9,220 is: 13,830

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,108 : 46,662 = 9,220 : x
  2. Step 2: Convert to fraction form
    31,108/46,662 = 9,220/x
  3. Step 3: Cross multiply
    31,108x = 46,662 × 9,220
  4. Step 4: Simplify right side
    31,108x = 430,223,640
  5. Step 5: Solve for x
    x = 430,223,640/31,108
  6. Step 6: Final answer
    x = 13,830

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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.