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Finding the Fourth Proportional to 7,075, 10,614.84 and 3,787.36

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Solution

The fourth proportional to 7,075, 10,614.84 and 3,787.36 is: 5,682.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075 : 10,614.84 = 3,787.36 : x
  2. Step 2: Convert to fraction form
    7,075/10,614.84 = 3,787.36/x
  3. Step 3: Cross multiply
    7,075x = 10,614.84 × 3,787.36
  4. Step 4: Simplify right side
    7,075x = 40,202,220.42
  5. Step 5: Solve for x
    x = 40,202,220.42/7,075
  6. Step 6: Final answer
    x = 5,682.29

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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.