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Finding the Fourth Proportional to 2,781.25, 3,838.13 and 1,539.25

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Solution

The fourth proportional to 2,781.25, 3,838.13 and 1,539.25 is: 2,124.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.25 : 3,838.13 = 1,539.25 : x
  2. Step 2: Convert to fraction form
    2,781.25/3,838.13 = 1,539.25/x
  3. Step 3: Cross multiply
    2,781.25x = 3,838.13 × 1,539.25
  4. Step 4: Simplify right side
    2,781.25x = 5,907,833.91
  5. Step 5: Solve for x
    x = 5,907,833.91/2,781.25
  6. Step 6: Final answer
    x = 2,124.17

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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.