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Finding the Fourth Proportional to 3,623, 5,436.66 and 1,571

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Solution

The fourth proportional to 3,623, 5,436.66 and 1,571 is: 2,357.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,623 : 5,436.66 = 1,571 : x
  2. Step 2: Convert to fraction form
    3,623/5,436.66 = 1,571/x
  3. Step 3: Cross multiply
    3,623x = 5,436.66 × 1,571
  4. Step 4: Simplify right side
    3,623x = 8,540,992.86
  5. Step 5: Solve for x
    x = 8,540,992.86/3,623
  6. Step 6: Final answer
    x = 2,357.44

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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.