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Finding the Fourth Proportional to 4,781.33, 7,170.22 and 1,660.50

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Solution

The fourth proportional to 4,781.33, 7,170.22 and 1,660.50 is: 2,490.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,781.33 : 7,170.22 = 1,660.50 : x
  2. Step 2: Convert to fraction form
    4,781.33/7,170.22 = 1,660.50/x
  3. Step 3: Cross multiply
    4,781.33x = 7,170.22 × 1,660.50
  4. Step 4: Simplify right side
    4,781.33x = 11,906,152.39
  5. Step 5: Solve for x
    x = 11,906,152.39/4,781.33
  6. Step 6: Final answer
    x = 2,490.13

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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.