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Finding the Fourth Proportional to 3,968.64, 5,953.92 and 1,660.80

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Solution

The fourth proportional to 3,968.64, 5,953.92 and 1,660.80 is: 2,491.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.64 : 5,953.92 = 1,660.80 : x
  2. Step 2: Convert to fraction form
    3,968.64/5,953.92 = 1,660.80/x
  3. Step 3: Cross multiply
    3,968.64x = 5,953.92 × 1,660.80
  4. Step 4: Simplify right side
    3,968.64x = 9,888,270.34
  5. Step 5: Solve for x
    x = 9,888,270.34/3,968.64
  6. Step 6: Final answer
    x = 2,491.60

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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.