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Finding the Fourth Proportional to 5,603.12, 7,732.22 and 3,085.41

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Solution

The fourth proportional to 5,603.12, 7,732.22 and 3,085.41 is: 4,257.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,603.12 : 7,732.22 = 3,085.41 : x
  2. Step 2: Convert to fraction form
    5,603.12/7,732.22 = 3,085.41/x
  3. Step 3: Cross multiply
    5,603.12x = 7,732.22 × 3,085.41
  4. Step 4: Simplify right side
    5,603.12x = 23,857,053.48
  5. Step 5: Solve for x
    x = 23,857,053.48/5,603.12
  6. Step 6: Final answer
    x = 4,257.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.