Home / 2,774.46-3,827.40-2,471.52

Finding the Fourth Proportional to 2,774.46, 3,827.40 and 2,471.52

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Solution

The fourth proportional to 2,774.46, 3,827.40 and 2,471.52 is: 3,409.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.46 : 3,827.40 = 2,471.52 : x
  2. Step 2: Convert to fraction form
    2,774.46/3,827.40 = 2,471.52/x
  3. Step 3: Cross multiply
    2,774.46x = 3,827.40 × 2,471.52
  4. Step 4: Simplify right side
    2,774.46x = 9,459,495.65
  5. Step 5: Solve for x
    x = 9,459,495.65/2,774.46
  6. Step 6: Final answer
    x = 3,409.49

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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.