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Finding the Fourth Proportional to 3,888.45, 5,832.74 and 966.76

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Solution

The fourth proportional to 3,888.45, 5,832.74 and 966.76 is: 1,450.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.45 : 5,832.74 = 966.76 : x
  2. Step 2: Convert to fraction form
    3,888.45/5,832.74 = 966.76/x
  3. Step 3: Cross multiply
    3,888.45x = 5,832.74 × 966.76
  4. Step 4: Simplify right side
    3,888.45x = 5,638,847.56
  5. Step 5: Solve for x
    x = 5,638,847.56/3,888.45
  6. Step 6: Final answer
    x = 1,450.15

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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.