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Finding the Fourth Proportional to 3,408.74, 5,113.11 and 1,068.93

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Solution

The fourth proportional to 3,408.74, 5,113.11 and 1,068.93 is: 1,603.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.74 : 5,113.11 = 1,068.93 : x
  2. Step 2: Convert to fraction form
    3,408.74/5,113.11 = 1,068.93/x
  3. Step 3: Cross multiply
    3,408.74x = 5,113.11 × 1,068.93
  4. Step 4: Simplify right side
    3,408.74x = 5,465,525.76
  5. Step 5: Solve for x
    x = 5,465,525.76/3,408.74
  6. Step 6: Final answer
    x = 1,603.39

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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.