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Finding the Fourth Proportional to 3,772.60, 5,661.60 and 2,127.40

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Solution

The fourth proportional to 3,772.60, 5,661.60 and 2,127.40 is: 3,192.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.60 : 5,661.60 = 2,127.40 : x
  2. Step 2: Convert to fraction form
    3,772.60/5,661.60 = 2,127.40/x
  3. Step 3: Cross multiply
    3,772.60x = 5,661.60 × 2,127.40
  4. Step 4: Simplify right side
    3,772.60x = 12,044,487.84
  5. Step 5: Solve for x
    x = 12,044,487.84/3,772.60
  6. Step 6: Final answer
    x = 3,192.62

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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.