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Finding the Fourth Proportional to 2,538.84, 3,809.08 and 1,079.22

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Solution

The fourth proportional to 2,538.84, 3,809.08 and 1,079.22 is: 1,619.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.84 : 3,809.08 = 1,079.22 : x
  2. Step 2: Convert to fraction form
    2,538.84/3,809.08 = 1,079.22/x
  3. Step 3: Cross multiply
    2,538.84x = 3,809.08 × 1,079.22
  4. Step 4: Simplify right side
    2,538.84x = 4,110,835.32
  5. Step 5: Solve for x
    x = 4,110,835.32/2,538.84
  6. Step 6: Final answer
    x = 1,619.18

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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.