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Finding the Fourth Proportional to 7,405.65, 11,103.22 and 3,705.22

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Solution

The fourth proportional to 7,405.65, 11,103.22 and 3,705.22 is: 5,555.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,405.65 : 11,103.22 = 3,705.22 : x
  2. Step 2: Convert to fraction form
    7,405.65/11,103.22 = 3,705.22/x
  3. Step 3: Cross multiply
    7,405.65x = 11,103.22 × 3,705.22
  4. Step 4: Simplify right side
    7,405.65x = 41,139,872.81
  5. Step 5: Solve for x
    x = 41,139,872.81/7,405.65
  6. Step 6: Final answer
    x = 5,555.20

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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.