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Finding the Fourth Proportional to 3,771.54, 5,656.26 and 1,578.99

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Solution

The fourth proportional to 3,771.54, 5,656.26 and 1,578.99 is: 2,368.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.54 : 5,656.26 = 1,578.99 : x
  2. Step 2: Convert to fraction form
    3,771.54/5,656.26 = 1,578.99/x
  3. Step 3: Cross multiply
    3,771.54x = 5,656.26 × 1,578.99
  4. Step 4: Simplify right side
    3,771.54x = 8,931,177.98
  5. Step 5: Solve for x
    x = 8,931,177.98/3,771.54
  6. Step 6: Final answer
    x = 2,368.05

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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.