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Finding the Fourth Proportional to 2,664.64, 3,678.04 and 1,720.44

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Solution

The fourth proportional to 2,664.64, 3,678.04 and 1,720.44 is: 2,374.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.64 : 3,678.04 = 1,720.44 : x
  2. Step 2: Convert to fraction form
    2,664.64/3,678.04 = 1,720.44/x
  3. Step 3: Cross multiply
    2,664.64x = 3,678.04 × 1,720.44
  4. Step 4: Simplify right side
    2,664.64x = 6,327,847.14
  5. Step 5: Solve for x
    x = 6,327,847.14/2,664.64
  6. Step 6: Final answer
    x = 2,374.75

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1.5x scale

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.