Home / 1,261.74-1,742.14-1,086.78

Finding the Fourth Proportional to 1,261.74, 1,742.14 and 1,086.78

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Solution

The fourth proportional to 1,261.74, 1,742.14 and 1,086.78 is: 1,500.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.74 : 1,742.14 = 1,086.78 : x
  2. Step 2: Convert to fraction form
    1,261.74/1,742.14 = 1,086.78/x
  3. Step 3: Cross multiply
    1,261.74x = 1,742.14 × 1,086.78
  4. Step 4: Simplify right side
    1,261.74x = 1,893,322.91
  5. Step 5: Solve for x
    x = 1,893,322.91/1,261.74
  6. Step 6: Final answer
    x = 1,500.57

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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.