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Finding the Fourth Proportional to 2,833.88, 3,910.77 and 1,655.19

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Solution

The fourth proportional to 2,833.88, 3,910.77 and 1,655.19 is: 2,284.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.88 : 3,910.77 = 1,655.19 : x
  2. Step 2: Convert to fraction form
    2,833.88/3,910.77 = 1,655.19/x
  3. Step 3: Cross multiply
    2,833.88x = 3,910.77 × 1,655.19
  4. Step 4: Simplify right side
    2,833.88x = 6,473,067.40
  5. Step 5: Solve for x
    x = 6,473,067.40/2,833.88
  6. Step 6: Final answer
    x = 2,284.18

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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.