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Finding the Fourth Proportional to 2,647.67, 3,970.94 and 1,003.64

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Solution

The fourth proportional to 2,647.67, 3,970.94 and 1,003.64 is: 1,505.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.67 : 3,970.94 = 1,003.64 : x
  2. Step 2: Convert to fraction form
    2,647.67/3,970.94 = 1,003.64/x
  3. Step 3: Cross multiply
    2,647.67x = 3,970.94 × 1,003.64
  4. Step 4: Simplify right side
    2,647.67x = 3,985,369.35
  5. Step 5: Solve for x
    x = 3,985,369.35/2,647.67
  6. Step 6: Final answer
    x = 1,505.24

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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.