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Finding the Fourth Proportional to 3,784.88, 5,677.90 and 1,187.22

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Solution

The fourth proportional to 3,784.88, 5,677.90 and 1,187.22 is: 1,781.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.88 : 5,677.90 = 1,187.22 : x
  2. Step 2: Convert to fraction form
    3,784.88/5,677.90 = 1,187.22/x
  3. Step 3: Cross multiply
    3,784.88x = 5,677.90 × 1,187.22
  4. Step 4: Simplify right side
    3,784.88x = 6,740,916.44
  5. Step 5: Solve for x
    x = 6,740,916.44/3,784.88
  6. Step 6: Final answer
    x = 1,781.01

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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.