Home / 1,508.84-2,082.39-919.34

Finding the Fourth Proportional to 1,508.84, 2,082.39 and 919.34

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Solution

The fourth proportional to 1,508.84, 2,082.39 and 919.34 is: 1,268.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.84 : 2,082.39 = 919.34 : x
  2. Step 2: Convert to fraction form
    1,508.84/2,082.39 = 919.34/x
  3. Step 3: Cross multiply
    1,508.84x = 2,082.39 × 919.34
  4. Step 4: Simplify right side
    1,508.84x = 1,914,424.42
  5. Step 5: Solve for x
    x = 1,914,424.42/1,508.84
  6. Step 6: Final answer
    x = 1,268.81

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1.5x scale

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.