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Finding the Fourth Proportional to 3,160, 4,740 and 1,108

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Solution

The fourth proportional to 3,160, 4,740 and 1,108 is: 1,662

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160 : 4,740 = 1,108 : x
  2. Step 2: Convert to fraction form
    3,160/4,740 = 1,108/x
  3. Step 3: Cross multiply
    3,160x = 4,740 × 1,108
  4. Step 4: Simplify right side
    3,160x = 5,251,920
  5. Step 5: Solve for x
    x = 5,251,920/3,160
  6. Step 6: Final answer
    x = 1,662

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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.