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Finding the Fourth Proportional to 3,896.94, 5,847.12 and 1,590.06

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Solution

The fourth proportional to 3,896.94, 5,847.12 and 1,590.06 is: 2,385.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.94 : 5,847.12 = 1,590.06 : x
  2. Step 2: Convert to fraction form
    3,896.94/5,847.12 = 1,590.06/x
  3. Step 3: Cross multiply
    3,896.94x = 5,847.12 × 1,590.06
  4. Step 4: Simplify right side
    3,896.94x = 9,297,271.63
  5. Step 5: Solve for x
    x = 9,297,271.63/3,896.94
  6. Step 6: Final answer
    x = 2,385.79

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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.