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Finding the Fourth Proportional to 3,745.57, 5,618 and 1,280.64

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Solution

The fourth proportional to 3,745.57, 5,618 and 1,280.64 is: 1,920.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.57 : 5,618 = 1,280.64 : x
  2. Step 2: Convert to fraction form
    3,745.57/5,618 = 1,280.64/x
  3. Step 3: Cross multiply
    3,745.57x = 5,618 × 1,280.64
  4. Step 4: Simplify right side
    3,745.57x = 7,194,635.52
  5. Step 5: Solve for x
    x = 7,194,635.52/3,745.57
  6. Step 6: Final answer
    x = 1,920.84

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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.