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Finding the Fourth Proportional to 2,600.78, 3,585.78 and 1,892.07

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Solution

The fourth proportional to 2,600.78, 3,585.78 and 1,892.07 is: 2,608.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.78 : 3,585.78 = 1,892.07 : x
  2. Step 2: Convert to fraction form
    2,600.78/3,585.78 = 1,892.07/x
  3. Step 3: Cross multiply
    2,600.78x = 3,585.78 × 1,892.07
  4. Step 4: Simplify right side
    2,600.78x = 6,784,546.76
  5. Step 5: Solve for x
    x = 6,784,546.76/2,600.78
  6. Step 6: Final answer
    x = 2,608.66

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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.