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Finding the Fourth Proportional to 3,901.68, 5,851.44 and 1,926.36

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Solution

The fourth proportional to 3,901.68, 5,851.44 and 1,926.36 is: 2,889.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.68 : 5,851.44 = 1,926.36 : x
  2. Step 2: Convert to fraction form
    3,901.68/5,851.44 = 1,926.36/x
  3. Step 3: Cross multiply
    3,901.68x = 5,851.44 × 1,926.36
  4. Step 4: Simplify right side
    3,901.68x = 11,271,979.96
  5. Step 5: Solve for x
    x = 11,271,979.96/3,901.68
  6. Step 6: Final answer
    x = 2,889.01

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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.