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Finding the Fourth Proportional to 3,670.59, 5,069.60 and 2,489.61

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Solution

The fourth proportional to 3,670.59, 5,069.60 and 2,489.61 is: 3,438.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.59 : 5,069.60 = 2,489.61 : x
  2. Step 2: Convert to fraction form
    3,670.59/5,069.60 = 2,489.61/x
  3. Step 3: Cross multiply
    3,670.59x = 5,069.60 × 2,489.61
  4. Step 4: Simplify right side
    3,670.59x = 12,621,314.41
  5. Step 5: Solve for x
    x = 12,621,314.41/3,670.59
  6. Step 6: Final answer
    x = 3,438.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.