Home / 2,078.13-2,867.82-1,146.63

Finding the Fourth Proportional to 2,078.13, 2,867.82 and 1,146.63

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Solution

The fourth proportional to 2,078.13, 2,867.82 and 1,146.63 is: 1,582.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.13 : 2,867.82 = 1,146.63 : x
  2. Step 2: Convert to fraction form
    2,078.13/2,867.82 = 1,146.63/x
  3. Step 3: Cross multiply
    2,078.13x = 2,867.82 × 1,146.63
  4. Step 4: Simplify right side
    2,078.13x = 3,288,328.45
  5. Step 5: Solve for x
    x = 3,288,328.45/2,078.13
  6. Step 6: Final answer
    x = 1,582.35

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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.