Home / 10,094-15,147.80-3,520.16

Finding the Fourth Proportional to 10,094, 15,147.80 and 3,520.16

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Solution

The fourth proportional to 10,094, 15,147.80 and 3,520.16 is: 5,282.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094 : 15,147.80 = 3,520.16 : x
  2. Step 2: Convert to fraction form
    10,094/15,147.80 = 3,520.16/x
  3. Step 3: Cross multiply
    10,094x = 15,147.80 × 3,520.16
  4. Step 4: Simplify right side
    10,094x = 53,322,679.65
  5. Step 5: Solve for x
    x = 53,322,679.65/10,094
  6. Step 6: Final answer
    x = 5,282.61

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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.