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Finding the Fourth Proportional to 11,660.96, 17,491.20 and 3,869.84

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Solution

The fourth proportional to 11,660.96, 17,491.20 and 3,869.84 is: 5,804.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660.96 : 17,491.20 = 3,869.84 : x
  2. Step 2: Convert to fraction form
    11,660.96/17,491.20 = 3,869.84/x
  3. Step 3: Cross multiply
    11,660.96x = 17,491.20 × 3,869.84
  4. Step 4: Simplify right side
    11,660.96x = 67,688,145.41
  5. Step 5: Solve for x
    x = 67,688,145.41/11,660.96
  6. Step 6: Final answer
    x = 5,804.68

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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.