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Finding the Fourth Proportional to 7,405.74, 11,108.60 and 2,965.40

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Solution

The fourth proportional to 7,405.74, 11,108.60 and 2,965.40 is: 4,448.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,405.74 : 11,108.60 = 2,965.40 : x
  2. Step 2: Convert to fraction form
    7,405.74/11,108.60 = 2,965.40/x
  3. Step 3: Cross multiply
    7,405.74x = 11,108.60 × 2,965.40
  4. Step 4: Simplify right side
    7,405.74x = 32,941,442.44
  5. Step 5: Solve for x
    x = 32,941,442.44/7,405.74
  6. Step 6: Final answer
    x = 4,448.10

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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.