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Finding the Fourth Proportional to 2,415.22, 3,623.41 and 749.30

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Solution

The fourth proportional to 2,415.22, 3,623.41 and 749.30 is: 1,124.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.22 : 3,623.41 = 749.30 : x
  2. Step 2: Convert to fraction form
    2,415.22/3,623.41 = 749.30/x
  3. Step 3: Cross multiply
    2,415.22x = 3,623.41 × 749.30
  4. Step 4: Simplify right side
    2,415.22x = 2,715,003.93
  5. Step 5: Solve for x
    x = 2,715,003.93/2,415.22
  6. Step 6: Final answer
    x = 1,124.12

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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.