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Finding the Fourth Proportional to 2,637.86, 3,958.14 and 1,079.02

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Solution

The fourth proportional to 2,637.86, 3,958.14 and 1,079.02 is: 1,619.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.86 : 3,958.14 = 1,079.02 : x
  2. Step 2: Convert to fraction form
    2,637.86/3,958.14 = 1,079.02/x
  3. Step 3: Cross multiply
    2,637.86x = 3,958.14 × 1,079.02
  4. Step 4: Simplify right side
    2,637.86x = 4,270,892.43
  5. Step 5: Solve for x
    x = 4,270,892.43/2,637.86
  6. Step 6: Final answer
    x = 1,619.07

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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.