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Finding the Fourth Proportional to 7,415.65, 11,110.65 and 3,900.43

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Solution

The fourth proportional to 7,415.65, 11,110.65 and 3,900.43 is: 5,843.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,415.65 : 11,110.65 = 3,900.43 : x
  2. Step 2: Convert to fraction form
    7,415.65/11,110.65 = 3,900.43/x
  3. Step 3: Cross multiply
    7,415.65x = 11,110.65 × 3,900.43
  4. Step 4: Simplify right side
    7,415.65x = 43,336,312.58
  5. Step 5: Solve for x
    x = 43,336,312.58/7,415.65
  6. Step 6: Final answer
    x = 5,843.90

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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.