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Finding the Fourth Proportional to 4,745.58, 7,120.94 and 1,974.16

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Solution

The fourth proportional to 4,745.58, 7,120.94 and 1,974.16 is: 2,962.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.58 : 7,120.94 = 1,974.16 : x
  2. Step 2: Convert to fraction form
    4,745.58/7,120.94 = 1,974.16/x
  3. Step 3: Cross multiply
    4,745.58x = 7,120.94 × 1,974.16
  4. Step 4: Simplify right side
    4,745.58x = 14,057,873.94
  5. Step 5: Solve for x
    x = 14,057,873.94/4,745.58
  6. Step 6: Final answer
    x = 2,962.31

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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.