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Finding the Fourth Proportional to 2,773.25, 3,827.09 and 1,531.25

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Solution

The fourth proportional to 2,773.25, 3,827.09 and 1,531.25 is: 2,113.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.25 : 3,827.09 = 1,531.25 : x
  2. Step 2: Convert to fraction form
    2,773.25/3,827.09 = 1,531.25/x
  3. Step 3: Cross multiply
    2,773.25x = 3,827.09 × 1,531.25
  4. Step 4: Simplify right side
    2,773.25x = 5,860,223.91
  5. Step 5: Solve for x
    x = 5,860,223.91/2,773.25
  6. Step 6: Final answer
    x = 2,113.13

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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.