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Finding the Fourth Proportional to 2,739.25, 3,780.18 and 1,497.25

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Solution

The fourth proportional to 2,739.25, 3,780.18 and 1,497.25 is: 2,066.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.25 : 3,780.18 = 1,497.25 : x
  2. Step 2: Convert to fraction form
    2,739.25/3,780.18 = 1,497.25/x
  3. Step 3: Cross multiply
    2,739.25x = 3,780.18 × 1,497.25
  4. Step 4: Simplify right side
    2,739.25x = 5,659,874.51
  5. Step 5: Solve for x
    x = 5,659,874.51/2,739.25
  6. Step 6: Final answer
    x = 2,066.21

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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.