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Finding the Fourth Proportional to 7,198.50, 9,937.26 and 5,075.76

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Solution

The fourth proportional to 7,198.50, 9,937.26 and 5,075.76 is: 7,006.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.50 : 9,937.26 = 5,075.76 : x
  2. Step 2: Convert to fraction form
    7,198.50/9,937.26 = 5,075.76/x
  3. Step 3: Cross multiply
    7,198.50x = 9,937.26 × 5,075.76
  4. Step 4: Simplify right side
    7,198.50x = 50,439,146.82
  5. Step 5: Solve for x
    x = 50,439,146.82/7,198.50
  6. Step 6: Final answer
    x = 7,006.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.