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Finding the Fourth Proportional to 3,784.36, 5,676.54 and 1,187.50

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Solution

The fourth proportional to 3,784.36, 5,676.54 and 1,187.50 is: 1,781.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.36 : 5,676.54 = 1,187.50 : x
  2. Step 2: Convert to fraction form
    3,784.36/5,676.54 = 1,187.50/x
  3. Step 3: Cross multiply
    3,784.36x = 5,676.54 × 1,187.50
  4. Step 4: Simplify right side
    3,784.36x = 6,740,891.25
  5. Step 5: Solve for x
    x = 6,740,891.25/3,784.36
  6. Step 6: Final answer
    x = 1,781.25

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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.