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Finding the Fourth Proportional to 3,926.05, 5,889.08 and 964.51

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Solution

The fourth proportional to 3,926.05, 5,889.08 and 964.51 is: 1,446.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,926.05 : 5,889.08 = 964.51 : x
  2. Step 2: Convert to fraction form
    3,926.05/5,889.08 = 964.51/x
  3. Step 3: Cross multiply
    3,926.05x = 5,889.08 × 964.51
  4. Step 4: Simplify right side
    3,926.05x = 5,680,064.24
  5. Step 5: Solve for x
    x = 5,680,064.24/3,926.05
  6. Step 6: Final answer
    x = 1,446.76

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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.