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Finding the Fourth Proportional to 1,867.40, 2,578.12 and 1,659.80

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Solution

The fourth proportional to 1,867.40, 2,578.12 and 1,659.80 is: 2,291.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.40 : 2,578.12 = 1,659.80 : x
  2. Step 2: Convert to fraction form
    1,867.40/2,578.12 = 1,659.80/x
  3. Step 3: Cross multiply
    1,867.40x = 2,578.12 × 1,659.80
  4. Step 4: Simplify right side
    1,867.40x = 4,279,163.58
  5. Step 5: Solve for x
    x = 4,279,163.58/1,867.40
  6. Step 6: Final answer
    x = 2,291.51

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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.