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Finding the Fourth Proportional to 2,646.48, 3,969.77 and 1,003.80

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Solution

The fourth proportional to 2,646.48, 3,969.77 and 1,003.80 is: 1,505.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.48 : 3,969.77 = 1,003.80 : x
  2. Step 2: Convert to fraction form
    2,646.48/3,969.77 = 1,003.80/x
  3. Step 3: Cross multiply
    2,646.48x = 3,969.77 × 1,003.80
  4. Step 4: Simplify right side
    2,646.48x = 3,984,850.11
  5. Step 5: Solve for x
    x = 3,984,850.11/2,646.48
  6. Step 6: Final answer
    x = 1,505.72

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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.