Home / 1,119.38-1,543.26-919.46

Finding the Fourth Proportional to 1,119.38, 1,543.26 and 919.46

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Solution

The fourth proportional to 1,119.38, 1,543.26 and 919.46 is: 1,267.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.38 : 1,543.26 = 919.46 : x
  2. Step 2: Convert to fraction form
    1,119.38/1,543.26 = 919.46/x
  3. Step 3: Cross multiply
    1,119.38x = 1,543.26 × 919.46
  4. Step 4: Simplify right side
    1,119.38x = 1,418,965.84
  5. Step 5: Solve for x
    x = 1,418,965.84/1,119.38
  6. Step 6: Final answer
    x = 1,267.64

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Double scale
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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.