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Finding the Fourth Proportional to 3,985.38, 5,978.94 and 1,520.24

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Solution

The fourth proportional to 3,985.38, 5,978.94 and 1,520.24 is: 2,280.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985.38 : 5,978.94 = 1,520.24 : x
  2. Step 2: Convert to fraction form
    3,985.38/5,978.94 = 1,520.24/x
  3. Step 3: Cross multiply
    3,985.38x = 5,978.94 × 1,520.24
  4. Step 4: Simplify right side
    3,985.38x = 9,089,423.75
  5. Step 5: Solve for x
    x = 9,089,423.75/3,985.38
  6. Step 6: Final answer
    x = 2,280.69

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1.5x scale

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.