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Finding the Fourth Proportional to 5,497.74, 8,235.98 and 3,418.57

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Solution

The fourth proportional to 5,497.74, 8,235.98 and 3,418.57 is: 5,121.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.74 : 8,235.98 = 3,418.57 : x
  2. Step 2: Convert to fraction form
    5,497.74/8,235.98 = 3,418.57/x
  3. Step 3: Cross multiply
    5,497.74x = 8,235.98 × 3,418.57
  4. Step 4: Simplify right side
    5,497.74x = 28,155,280.17
  5. Step 5: Solve for x
    x = 28,155,280.17/5,497.74
  6. Step 6: Final answer
    x = 5,121.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.