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Finding the Fourth Proportional to 5,266.71, 7,899.44 and 1,371.02

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Solution

The fourth proportional to 5,266.71, 7,899.44 and 1,371.02 is: 2,056.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.71 : 7,899.44 = 1,371.02 : x
  2. Step 2: Convert to fraction form
    5,266.71/7,899.44 = 1,371.02/x
  3. Step 3: Cross multiply
    5,266.71x = 7,899.44 × 1,371.02
  4. Step 4: Simplify right side
    5,266.71x = 10,830,243.88
  5. Step 5: Solve for x
    x = 10,830,243.88/5,266.71
  6. Step 6: Final answer
    x = 2,056.36

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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.