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Finding the Fourth Proportional to 3,745.93, 5,619.89 and 1,280.74

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Solution

The fourth proportional to 3,745.93, 5,619.89 and 1,280.74 is: 1,921.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.93 : 5,619.89 = 1,280.74 : x
  2. Step 2: Convert to fraction form
    3,745.93/5,619.89 = 1,280.74/x
  3. Step 3: Cross multiply
    3,745.93x = 5,619.89 × 1,280.74
  4. Step 4: Simplify right side
    3,745.93x = 7,197,611.51
  5. Step 5: Solve for x
    x = 7,197,611.51/3,745.93
  6. Step 6: Final answer
    x = 1,921.45

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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.