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Finding the Fourth Proportional to 2,803.97, 4,205.93 and 723.95

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Solution

The fourth proportional to 2,803.97, 4,205.93 and 723.95 is: 1,085.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.97 : 4,205.93 = 723.95 : x
  2. Step 2: Convert to fraction form
    2,803.97/4,205.93 = 723.95/x
  3. Step 3: Cross multiply
    2,803.97x = 4,205.93 × 723.95
  4. Step 4: Simplify right side
    2,803.97x = 3,044,884.64
  5. Step 5: Solve for x
    x = 3,044,884.64/2,803.97
  6. Step 6: Final answer
    x = 1,085.92

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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.