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Finding the Fourth Proportional to 2,489.95, 3,727.71 and 1,940.47

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Solution

The fourth proportional to 2,489.95, 3,727.71 and 1,940.47 is: 2,905.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.95 : 3,727.71 = 1,940.47 : x
  2. Step 2: Convert to fraction form
    2,489.95/3,727.71 = 1,940.47/x
  3. Step 3: Cross multiply
    2,489.95x = 3,727.71 × 1,940.47
  4. Step 4: Simplify right side
    2,489.95x = 7,233,509.42
  5. Step 5: Solve for x
    x = 7,233,509.42/2,489.95
  6. Step 6: Final answer
    x = 2,905.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.