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Finding the Fourth Proportional to 3,647.44, 5,474.88 and 2,670.64

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Solution

The fourth proportional to 3,647.44, 5,474.88 and 2,670.64 is: 4,008.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.44 : 5,474.88 = 2,670.64 : x
  2. Step 2: Convert to fraction form
    3,647.44/5,474.88 = 2,670.64/x
  3. Step 3: Cross multiply
    3,647.44x = 5,474.88 × 2,670.64
  4. Step 4: Simplify right side
    3,647.44x = 14,621,433.52
  5. Step 5: Solve for x
    x = 14,621,433.52/3,647.44
  6. Step 6: Final answer
    x = 4,008.68

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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.