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Finding the Fourth Proportional to 7,389.74, 11,075.34 and 3,693

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Solution

The fourth proportional to 7,389.74, 11,075.34 and 3,693 is: 5,534.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,389.74 : 11,075.34 = 3,693 : x
  2. Step 2: Convert to fraction form
    7,389.74/11,075.34 = 3,693/x
  3. Step 3: Cross multiply
    7,389.74x = 11,075.34 × 3,693
  4. Step 4: Simplify right side
    7,389.74x = 40,901,230.62
  5. Step 5: Solve for x
    x = 40,901,230.62/7,389.74
  6. Step 6: Final answer
    x = 5,534.87

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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.