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Finding the Fourth Proportional to 2,784.63, 3,840.61 and 1,790

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Solution

The fourth proportional to 2,784.63, 3,840.61 and 1,790 is: 2,468.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.63 : 3,840.61 = 1,790 : x
  2. Step 2: Convert to fraction form
    2,784.63/3,840.61 = 1,790/x
  3. Step 3: Cross multiply
    2,784.63x = 3,840.61 × 1,790
  4. Step 4: Simplify right side
    2,784.63x = 6,874,691.90
  5. Step 5: Solve for x
    x = 6,874,691.90/2,784.63
  6. Step 6: Final answer
    x = 2,468.80

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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.