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Finding the Fourth Proportional to 7,855.02, 11,766.09 and 7,315.56

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Solution

The fourth proportional to 7,855.02, 11,766.09 and 7,315.56 is: 10,958.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.02 : 11,766.09 = 7,315.56 : x
  2. Step 2: Convert to fraction form
    7,855.02/11,766.09 = 7,315.56/x
  3. Step 3: Cross multiply
    7,855.02x = 11,766.09 × 7,315.56
  4. Step 4: Simplify right side
    7,855.02x = 86,075,537.36
  5. Step 5: Solve for x
    x = 86,075,537.36/7,855.02
  6. Step 6: Final answer
    x = 10,958.03

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1.5x scale

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.