Home / 3,784.16-5,676.80-1,187.84

Finding the Fourth Proportional to 3,784.16, 5,676.80 and 1,187.84

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Solution

The fourth proportional to 3,784.16, 5,676.80 and 1,187.84 is: 1,781.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.16 : 5,676.80 = 1,187.84 : x
  2. Step 2: Convert to fraction form
    3,784.16/5,676.80 = 1,187.84/x
  3. Step 3: Cross multiply
    3,784.16x = 5,676.80 × 1,187.84
  4. Step 4: Simplify right side
    3,784.16x = 6,743,130.11
  5. Step 5: Solve for x
    x = 6,743,130.11/3,784.16
  6. Step 6: Final answer
    x = 1,781.94

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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.