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Finding the Fourth Proportional to 2,415.75, 3,622.29 and 749.42

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Solution

The fourth proportional to 2,415.75, 3,622.29 and 749.42 is: 1,123.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.75 : 3,622.29 = 749.42 : x
  2. Step 2: Convert to fraction form
    2,415.75/3,622.29 = 749.42/x
  3. Step 3: Cross multiply
    2,415.75x = 3,622.29 × 749.42
  4. Step 4: Simplify right side
    2,415.75x = 2,714,598.46
  5. Step 5: Solve for x
    x = 2,714,598.46/2,415.75
  6. Step 6: Final answer
    x = 1,123.71

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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.