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Finding the Fourth Proportional to 2,644.64, 3,968.96 and 1,809.71

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Solution

The fourth proportional to 2,644.64, 3,968.96 and 1,809.71 is: 2,715.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.64 : 3,968.96 = 1,809.71 : x
  2. Step 2: Convert to fraction form
    2,644.64/3,968.96 = 1,809.71/x
  3. Step 3: Cross multiply
    2,644.64x = 3,968.96 × 1,809.71
  4. Step 4: Simplify right side
    2,644.64x = 7,182,637.71
  5. Step 5: Solve for x
    x = 7,182,637.71/2,644.64
  6. Step 6: Final answer
    x = 2,715.92

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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.