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Finding the Fourth Proportional to 2,902.78, 4,009.16 and 1,912.47

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Solution

The fourth proportional to 2,902.78, 4,009.16 and 1,912.47 is: 2,641.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.78 : 4,009.16 = 1,912.47 : x
  2. Step 2: Convert to fraction form
    2,902.78/4,009.16 = 1,912.47/x
  3. Step 3: Cross multiply
    2,902.78x = 4,009.16 × 1,912.47
  4. Step 4: Simplify right side
    2,902.78x = 7,667,388.66
  5. Step 5: Solve for x
    x = 7,667,388.66/2,902.78
  6. Step 6: Final answer
    x = 2,641.40

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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.