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Finding the Fourth Proportional to 2,827.51, 4,235.10 and 1,728.55

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Solution

The fourth proportional to 2,827.51, 4,235.10 and 1,728.55 is: 2,589.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.51 : 4,235.10 = 1,728.55 : x
  2. Step 2: Convert to fraction form
    2,827.51/4,235.10 = 1,728.55/x
  3. Step 3: Cross multiply
    2,827.51x = 4,235.10 × 1,728.55
  4. Step 4: Simplify right side
    2,827.51x = 7,320,582.11
  5. Step 5: Solve for x
    x = 7,320,582.11/2,827.51
  6. Step 6: Final answer
    x = 2,589.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.