Home / 2,509.71-3,766.88-1,278

Finding the Fourth Proportional to 2,509.71, 3,766.88 and 1,278

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Solution

The fourth proportional to 2,509.71, 3,766.88 and 1,278 is: 1,918.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.71 : 3,766.88 = 1,278 : x
  2. Step 2: Convert to fraction form
    2,509.71/3,766.88 = 1,278/x
  3. Step 3: Cross multiply
    2,509.71x = 3,766.88 × 1,278
  4. Step 4: Simplify right side
    2,509.71x = 4,814,066.25
  5. Step 5: Solve for x
    x = 4,814,066.25/2,509.71
  6. Step 6: Final answer
    x = 1,918.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.