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Finding the Fourth Proportional to 2,560.02, 3,839.73 and 804.95

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Solution

The fourth proportional to 2,560.02, 3,839.73 and 804.95 is: 1,207.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.02 : 3,839.73 = 804.95 : x
  2. Step 2: Convert to fraction form
    2,560.02/3,839.73 = 804.95/x
  3. Step 3: Cross multiply
    2,560.02x = 3,839.73 × 804.95
  4. Step 4: Simplify right side
    2,560.02x = 3,090,790.66
  5. Step 5: Solve for x
    x = 3,090,790.66/2,560.02
  6. Step 6: Final answer
    x = 1,207.33

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1.5x scale

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.