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Finding the Fourth Proportional to 3,599.63, 5,390.43 and 2,279.40

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Solution

The fourth proportional to 3,599.63, 5,390.43 and 2,279.40 is: 3,413.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599.63 : 5,390.43 = 2,279.40 : x
  2. Step 2: Convert to fraction form
    3,599.63/5,390.43 = 2,279.40/x
  3. Step 3: Cross multiply
    3,599.63x = 5,390.43 × 2,279.40
  4. Step 4: Simplify right side
    3,599.63x = 12,286,946.14
  5. Step 5: Solve for x
    x = 12,286,946.14/3,599.63
  6. Step 6: Final answer
    x = 3,413.39

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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.