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Finding the Fourth Proportional to 2,589.60, 3,880.80 and 1,664.64

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Solution

The fourth proportional to 2,589.60, 3,880.80 and 1,664.64 is: 2,494.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.60 : 3,880.80 = 1,664.64 : x
  2. Step 2: Convert to fraction form
    2,589.60/3,880.80 = 1,664.64/x
  3. Step 3: Cross multiply
    2,589.60x = 3,880.80 × 1,664.64
  4. Step 4: Simplify right side
    2,589.60x = 6,460,134.91
  5. Step 5: Solve for x
    x = 6,460,134.91/2,589.60
  6. Step 6: Final answer
    x = 2,494.65

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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.