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Finding the Fourth Proportional to 2,486.79, 3,727.58 and 1,827.68

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Solution

The fourth proportional to 2,486.79, 3,727.58 and 1,827.68 is: 2,739.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.79 : 3,727.58 = 1,827.68 : x
  2. Step 2: Convert to fraction form
    2,486.79/3,727.58 = 1,827.68/x
  3. Step 3: Cross multiply
    2,486.79x = 3,727.58 × 1,827.68
  4. Step 4: Simplify right side
    2,486.79x = 6,812,795.64
  5. Step 5: Solve for x
    x = 6,812,795.64/2,486.79
  6. Step 6: Final answer
    x = 2,739.59

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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.