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Finding the Fourth Proportional to 5,075.72, 7,614.06 and 1,997

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Solution

The fourth proportional to 5,075.72, 7,614.06 and 1,997 is: 2,995.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,075.72 : 7,614.06 = 1,997 : x
  2. Step 2: Convert to fraction form
    5,075.72/7,614.06 = 1,997/x
  3. Step 3: Cross multiply
    5,075.72x = 7,614.06 × 1,997
  4. Step 4: Simplify right side
    5,075.72x = 15,205,277.82
  5. Step 5: Solve for x
    x = 15,205,277.82/5,075.72
  6. Step 6: Final answer
    x = 2,995.69

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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.