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Finding the Fourth Proportional to 2,588.62, 3,883.60 and 1,664.64

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Solution

The fourth proportional to 2,588.62, 3,883.60 and 1,664.64 is: 2,497.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.62 : 3,883.60 = 1,664.64 : x
  2. Step 2: Convert to fraction form
    2,588.62/3,883.60 = 1,664.64/x
  3. Step 3: Cross multiply
    2,588.62x = 3,883.60 × 1,664.64
  4. Step 4: Simplify right side
    2,588.62x = 6,464,795.90
  5. Step 5: Solve for x
    x = 6,464,795.90/2,588.62
  6. Step 6: Final answer
    x = 2,497.39

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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.