Home / 2,378.16-3,282-1,787.64

Finding the Fourth Proportional to 2,378.16, 3,282 and 1,787.64

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Solution

The fourth proportional to 2,378.16, 3,282 and 1,787.64 is: 2,467.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.16 : 3,282 = 1,787.64 : x
  2. Step 2: Convert to fraction form
    2,378.16/3,282 = 1,787.64/x
  3. Step 3: Cross multiply
    2,378.16x = 3,282 × 1,787.64
  4. Step 4: Simplify right side
    2,378.16x = 5,867,034.48
  5. Step 5: Solve for x
    x = 5,867,034.48/2,378.16
  6. Step 6: Final answer
    x = 2,467.05

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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.