Home / 2,119.07-3,178.81-657.83

Finding the Fourth Proportional to 2,119.07, 3,178.81 and 657.83

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Solution

The fourth proportional to 2,119.07, 3,178.81 and 657.83 is: 986.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.07 : 3,178.81 = 657.83 : x
  2. Step 2: Convert to fraction form
    2,119.07/3,178.81 = 657.83/x
  3. Step 3: Cross multiply
    2,119.07x = 3,178.81 × 657.83
  4. Step 4: Simplify right side
    2,119.07x = 2,091,116.58
  5. Step 5: Solve for x
    x = 2,091,116.58/2,119.07
  6. Step 6: Final answer
    x = 986.81

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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.