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Finding the Fourth Proportional to 6,666, 10,020.60 and 6,185.04

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Solution

The fourth proportional to 6,666, 10,020.60 and 6,185.04 is: 9,297.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,666 : 10,020.60 = 6,185.04 : x
  2. Step 2: Convert to fraction form
    6,666/10,020.60 = 6,185.04/x
  3. Step 3: Cross multiply
    6,666x = 10,020.60 × 6,185.04
  4. Step 4: Simplify right side
    6,666x = 61,977,811.82
  5. Step 5: Solve for x
    x = 61,977,811.82/6,666
  6. Step 6: Final answer
    x = 9,297.60

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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.