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Finding the Fourth Proportional to 2,784.93, 3,840.32 and 2,387.97

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Solution

The fourth proportional to 2,784.93, 3,840.32 and 2,387.97 is: 3,292.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.93 : 3,840.32 = 2,387.97 : x
  2. Step 2: Convert to fraction form
    2,784.93/3,840.32 = 2,387.97/x
  3. Step 3: Cross multiply
    2,784.93x = 3,840.32 × 2,387.97
  4. Step 4: Simplify right side
    2,784.93x = 9,170,557.01
  5. Step 5: Solve for x
    x = 9,170,557.01/2,784.93
  6. Step 6: Final answer
    x = 3,292.92

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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.