Home / 2,110-3,161.56-1,288.84

Finding the Fourth Proportional to 2,110, 3,161.56 and 1,288.84

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Solution

The fourth proportional to 2,110, 3,161.56 and 1,288.84 is: 1,931.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110 : 3,161.56 = 1,288.84 : x
  2. Step 2: Convert to fraction form
    2,110/3,161.56 = 1,288.84/x
  3. Step 3: Cross multiply
    2,110x = 3,161.56 × 1,288.84
  4. Step 4: Simplify right side
    2,110x = 4,074,744.99
  5. Step 5: Solve for x
    x = 4,074,744.99/2,110
  6. Step 6: Final answer
    x = 1,931.16

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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.