Home / 2,110-2,911.80-1,178.50

Finding the Fourth Proportional to 2,110, 2,911.80 and 1,178.50

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Solution

The fourth proportional to 2,110, 2,911.80 and 1,178.50 is: 1,626.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110 : 2,911.80 = 1,178.50 : x
  2. Step 2: Convert to fraction form
    2,110/2,911.80 = 1,178.50/x
  3. Step 3: Cross multiply
    2,110x = 2,911.80 × 1,178.50
  4. Step 4: Simplify right side
    2,110x = 3,431,556.30
  5. Step 5: Solve for x
    x = 3,431,556.30/2,110
  6. Step 6: Final answer
    x = 1,626.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.