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Finding the Fourth Proportional to 4,781.76, 7,172.10 and 1,661.22

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Solution

The fourth proportional to 4,781.76, 7,172.10 and 1,661.22 is: 2,491.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,781.76 : 7,172.10 = 1,661.22 : x
  2. Step 2: Convert to fraction form
    4,781.76/7,172.10 = 1,661.22/x
  3. Step 3: Cross multiply
    4,781.76x = 7,172.10 × 1,661.22
  4. Step 4: Simplify right side
    4,781.76x = 11,914,435.96
  5. Step 5: Solve for x
    x = 11,914,435.96/4,781.76
  6. Step 6: Final answer
    x = 2,491.64

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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.