Home / 2,119.94-3,178.28-964.88

Finding the Fourth Proportional to 2,119.94, 3,178.28 and 964.88

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Solution

The fourth proportional to 2,119.94, 3,178.28 and 964.88 is: 1,446.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.94 : 3,178.28 = 964.88 : x
  2. Step 2: Convert to fraction form
    2,119.94/3,178.28 = 964.88/x
  3. Step 3: Cross multiply
    2,119.94x = 3,178.28 × 964.88
  4. Step 4: Simplify right side
    2,119.94x = 3,066,658.81
  5. Step 5: Solve for x
    x = 3,066,658.81/2,119.94
  6. Step 6: Final answer
    x = 1,446.58

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1.5x scale

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.