Home / 2,827.02-3,902.31-2,302.14

Finding the Fourth Proportional to 2,827.02, 3,902.31 and 2,302.14

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Solution

The fourth proportional to 2,827.02, 3,902.31 and 2,302.14 is: 3,177.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.02 : 3,902.31 = 2,302.14 : x
  2. Step 2: Convert to fraction form
    2,827.02/3,902.31 = 2,302.14/x
  3. Step 3: Cross multiply
    2,827.02x = 3,902.31 × 2,302.14
  4. Step 4: Simplify right side
    2,827.02x = 8,983,663.94
  5. Step 5: Solve for x
    x = 8,983,663.94/2,827.02
  6. Step 6: Final answer
    x = 3,177.79

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1.5x scale

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.