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Finding the Fourth Proportional to 7,405.62, 11,108.43 and 2,965.28

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Solution

The fourth proportional to 7,405.62, 11,108.43 and 2,965.28 is: 4,447.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,405.62 : 11,108.43 = 2,965.28 : x
  2. Step 2: Convert to fraction form
    7,405.62/11,108.43 = 2,965.28/x
  3. Step 3: Cross multiply
    7,405.62x = 11,108.43 × 2,965.28
  4. Step 4: Simplify right side
    7,405.62x = 32,939,605.31
  5. Step 5: Solve for x
    x = 32,939,605.31/7,405.62
  6. Step 6: Final answer
    x = 4,447.92

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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.