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Finding the Fourth Proportional to 7,122.74, 9,829.37 and 4,291.75

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Solution

The fourth proportional to 7,122.74, 9,829.37 and 4,291.75 is: 5,922.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.74 : 9,829.37 = 4,291.75 : x
  2. Step 2: Convert to fraction form
    7,122.74/9,829.37 = 4,291.75/x
  3. Step 3: Cross multiply
    7,122.74x = 9,829.37 × 4,291.75
  4. Step 4: Simplify right side
    7,122.74x = 42,185,198.70
  5. Step 5: Solve for x
    x = 42,185,198.70/7,122.74
  6. Step 6: Final answer
    x = 5,922.61

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1.5x scale

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.