Home / 2,827.84-3,902.28-1,708.72

Finding the Fourth Proportional to 2,827.84, 3,902.28 and 1,708.72

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Solution

The fourth proportional to 2,827.84, 3,902.28 and 1,708.72 is: 2,357.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.84 : 3,902.28 = 1,708.72 : x
  2. Step 2: Convert to fraction form
    2,827.84/3,902.28 = 1,708.72/x
  3. Step 3: Cross multiply
    2,827.84x = 3,902.28 × 1,708.72
  4. Step 4: Simplify right side
    2,827.84x = 6,667,903.88
  5. Step 5: Solve for x
    x = 6,667,903.88/2,827.84
  6. Step 6: Final answer
    x = 2,357.95

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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.