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Finding the Fourth Proportional to 3,847.51, 5,309.72 and 2,168.98

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Solution

The fourth proportional to 3,847.51, 5,309.72 and 2,168.98 is: 2,993.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.51 : 5,309.72 = 2,168.98 : x
  2. Step 2: Convert to fraction form
    3,847.51/5,309.72 = 2,168.98/x
  3. Step 3: Cross multiply
    3,847.51x = 5,309.72 × 2,168.98
  4. Step 4: Simplify right side
    3,847.51x = 11,516,676.49
  5. Step 5: Solve for x
    x = 11,516,676.49/3,847.51
  6. Step 6: Final answer
    x = 2,993.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.