Home / 3,110-4,292.32-1,867.76

Finding the Fourth Proportional to 3,110, 4,292.32 and 1,867.76

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Solution

The fourth proportional to 3,110, 4,292.32 and 1,867.76 is: 2,577.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,110 : 4,292.32 = 1,867.76 : x
  2. Step 2: Convert to fraction form
    3,110/4,292.32 = 1,867.76/x
  3. Step 3: Cross multiply
    3,110x = 4,292.32 × 1,867.76
  4. Step 4: Simplify right side
    3,110x = 8,017,023.60
  5. Step 5: Solve for x
    x = 8,017,023.60/3,110
  6. Step 6: Final answer
    x = 2,577.82

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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.