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Finding the Fourth Proportional to 31,120, 46,680 and 9,232

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Solution

The fourth proportional to 31,120, 46,680 and 9,232 is: 13,848

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,120 : 46,680 = 9,232 : x
  2. Step 2: Convert to fraction form
    31,120/46,680 = 9,232/x
  3. Step 3: Cross multiply
    31,120x = 46,680 × 9,232
  4. Step 4: Simplify right side
    31,120x = 430,949,760
  5. Step 5: Solve for x
    x = 430,949,760/31,120
  6. Step 6: Final answer
    x = 13,848

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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.