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Finding the Fourth Proportional to 2,633.87, 3,953.43 and 1,660.64

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Solution

The fourth proportional to 2,633.87, 3,953.43 and 1,660.64 is: 2,492.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.87 : 3,953.43 = 1,660.64 : x
  2. Step 2: Convert to fraction form
    2,633.87/3,953.43 = 1,660.64/x
  3. Step 3: Cross multiply
    2,633.87x = 3,953.43 × 1,660.64
  4. Step 4: Simplify right side
    2,633.87x = 6,565,224.00
  5. Step 5: Solve for x
    x = 6,565,224.00/2,633.87
  6. Step 6: Final answer
    x = 2,492.62

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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.