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Finding the Fourth Proportional to 7,090.66, 10,629.10 and 3,391.93

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Solution

The fourth proportional to 7,090.66, 10,629.10 and 3,391.93 is: 5,084.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.66 : 10,629.10 = 3,391.93 : x
  2. Step 2: Convert to fraction form
    7,090.66/10,629.10 = 3,391.93/x
  3. Step 3: Cross multiply
    7,090.66x = 10,629.10 × 3,391.93
  4. Step 4: Simplify right side
    7,090.66x = 36,053,163.16
  5. Step 5: Solve for x
    x = 36,053,163.16/7,090.66
  6. Step 6: Final answer
    x = 5,084.60

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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.