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Finding the Fourth Proportional to 7,390, 10,198.20 and 4,078

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Solution

The fourth proportional to 7,390, 10,198.20 and 4,078 is: 5,627.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,390 : 10,198.20 = 4,078 : x
  2. Step 2: Convert to fraction form
    7,390/10,198.20 = 4,078/x
  3. Step 3: Cross multiply
    7,390x = 10,198.20 × 4,078
  4. Step 4: Simplify right side
    7,390x = 41,588,259.60
  5. Step 5: Solve for x
    x = 41,588,259.60/7,390
  6. Step 6: Final answer
    x = 5,627.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.