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Finding the Fourth Proportional to 3,985.42, 5,977.90 and 1,520.49

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Solution

The fourth proportional to 3,985.42, 5,977.90 and 1,520.49 is: 2,280.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985.42 : 5,977.90 = 1,520.49 : x
  2. Step 2: Convert to fraction form
    3,985.42/5,977.90 = 1,520.49/x
  3. Step 3: Cross multiply
    3,985.42x = 5,977.90 × 1,520.49
  4. Step 4: Simplify right side
    3,985.42x = 9,089,329.57
  5. Step 5: Solve for x
    x = 9,089,329.57/3,985.42
  6. Step 6: Final answer
    x = 2,280.65

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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.