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Finding the Fourth Proportional to 5,266.01, 7,896.89 and 1,977.31

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Solution

The fourth proportional to 5,266.01, 7,896.89 and 1,977.31 is: 2,965.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.01 : 7,896.89 = 1,977.31 : x
  2. Step 2: Convert to fraction form
    5,266.01/7,896.89 = 1,977.31/x
  3. Step 3: Cross multiply
    5,266.01x = 7,896.89 × 1,977.31
  4. Step 4: Simplify right side
    5,266.01x = 15,614,614.38
  5. Step 5: Solve for x
    x = 15,614,614.38/5,266.01
  6. Step 6: Final answer
    x = 2,965.17

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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.