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Finding the Fourth Proportional to 7,027.80, 9,698.28 and 4,197

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Solution

The fourth proportional to 7,027.80, 9,698.28 and 4,197 is: 5,791.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,027.80 : 9,698.28 = 4,197 : x
  2. Step 2: Convert to fraction form
    7,027.80/9,698.28 = 4,197/x
  3. Step 3: Cross multiply
    7,027.80x = 9,698.28 × 4,197
  4. Step 4: Simplify right side
    7,027.80x = 40,703,681.16
  5. Step 5: Solve for x
    x = 40,703,681.16/7,027.80
  6. Step 6: Final answer
    x = 5,791.81

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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.