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Finding the Fourth Proportional to 3,420.87, 5,132 and 1,199.94

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Solution

The fourth proportional to 3,420.87, 5,132 and 1,199.94 is: 1,800.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.87 : 5,132 = 1,199.94 : x
  2. Step 2: Convert to fraction form
    3,420.87/5,132 = 1,199.94/x
  3. Step 3: Cross multiply
    3,420.87x = 5,132 × 1,199.94
  4. Step 4: Simplify right side
    3,420.87x = 6,158,092.08
  5. Step 5: Solve for x
    x = 6,158,092.08/3,420.87
  6. Step 6: Final answer
    x = 1,800.15

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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.