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Finding the Fourth Proportional to 11,103.81, 16,655.03 and 3,707.65

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Solution

The fourth proportional to 11,103.81, 16,655.03 and 3,707.65 is: 5,561.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,103.81 : 16,655.03 = 3,707.65 : x
  2. Step 2: Convert to fraction form
    11,103.81/16,655.03 = 3,707.65/x
  3. Step 3: Cross multiply
    11,103.81x = 16,655.03 × 3,707.65
  4. Step 4: Simplify right side
    11,103.81x = 61,750,961.80
  5. Step 5: Solve for x
    x = 61,750,961.80/11,103.81
  6. Step 6: Final answer
    x = 5,561.24

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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.