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Finding the Fourth Proportional to 3,418.84, 5,129.54 and 1,367

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Solution

The fourth proportional to 3,418.84, 5,129.54 and 1,367 is: 2,051.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418.84 : 5,129.54 = 1,367 : x
  2. Step 2: Convert to fraction form
    3,418.84/5,129.54 = 1,367/x
  3. Step 3: Cross multiply
    3,418.84x = 5,129.54 × 1,367
  4. Step 4: Simplify right side
    3,418.84x = 7,012,081.18
  5. Step 5: Solve for x
    x = 7,012,081.18/3,418.84
  6. Step 6: Final answer
    x = 2,051.01

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