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Finding the Fourth Proportional to 2,784.29, 3,843.65 and 1,737.89

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Solution

The fourth proportional to 2,784.29, 3,843.65 and 1,737.89 is: 2,399.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.29 : 3,843.65 = 1,737.89 : x
  2. Step 2: Convert to fraction form
    2,784.29/3,843.65 = 1,737.89/x
  3. Step 3: Cross multiply
    2,784.29x = 3,843.65 × 1,737.89
  4. Step 4: Simplify right side
    2,784.29x = 6,679,832.21
  5. Step 5: Solve for x
    x = 6,679,832.21/2,784.29
  6. Step 6: Final answer
    x = 2,399.12

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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.