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Finding the Fourth Proportional to 7,170, 9,896.20 and 5,055.90

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Solution

The fourth proportional to 7,170, 9,896.20 and 5,055.90 is: 6,978.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,170 : 9,896.20 = 5,055.90 : x
  2. Step 2: Convert to fraction form
    7,170/9,896.20 = 5,055.90/x
  3. Step 3: Cross multiply
    7,170x = 9,896.20 × 5,055.90
  4. Step 4: Simplify right side
    7,170x = 50,034,197.58
  5. Step 5: Solve for x
    x = 50,034,197.58/7,170
  6. Step 6: Final answer
    x = 6,978.27

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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.