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Finding the Fourth Proportional to 2,740.74, 3,781.00 and 1,903.45

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Solution

The fourth proportional to 2,740.74, 3,781.00 and 1,903.45 is: 2,625.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.74 : 3,781.00 = 1,903.45 : x
  2. Step 2: Convert to fraction form
    2,740.74/3,781.00 = 1,903.45/x
  3. Step 3: Cross multiply
    2,740.74x = 3,781.00 × 1,903.45
  4. Step 4: Simplify right side
    2,740.74x = 7,196,949.82
  5. Step 5: Solve for x
    x = 7,196,949.82/2,740.74
  6. Step 6: Final answer
    x = 2,625.92

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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.