Home / 3,784.84-5,677.80-1,187.08

Finding the Fourth Proportional to 3,784.84, 5,677.80 and 1,187.08

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Solution

The fourth proportional to 3,784.84, 5,677.80 and 1,187.08 is: 1,780.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.84 : 5,677.80 = 1,187.08 : x
  2. Step 2: Convert to fraction form
    3,784.84/5,677.80 = 1,187.08/x
  3. Step 3: Cross multiply
    3,784.84x = 5,677.80 × 1,187.08
  4. Step 4: Simplify right side
    3,784.84x = 6,740,002.82
  5. Step 5: Solve for x
    x = 6,740,002.82/3,784.84
  6. Step 6: Final answer
    x = 1,780.79

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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.