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Finding the Fourth Proportional to 2,378.84, 3,566.26 and 1,079.96

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Solution

The fourth proportional to 2,378.84, 3,566.26 and 1,079.96 is: 1,619.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.84 : 3,566.26 = 1,079.96 : x
  2. Step 2: Convert to fraction form
    2,378.84/3,566.26 = 1,079.96/x
  3. Step 3: Cross multiply
    2,378.84x = 3,566.26 × 1,079.96
  4. Step 4: Simplify right side
    2,378.84x = 3,851,418.15
  5. Step 5: Solve for x
    x = 3,851,418.15/2,378.84
  6. Step 6: Final answer
    x = 1,619.03

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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.