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Finding the Fourth Proportional to 11,922.19, 16,452.62 and 7,206.47

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Solution

The fourth proportional to 11,922.19, 16,452.62 and 7,206.47 is: 9,944.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,922.19 : 16,452.62 = 7,206.47 : x
  2. Step 2: Convert to fraction form
    11,922.19/16,452.62 = 7,206.47/x
  3. Step 3: Cross multiply
    11,922.19x = 16,452.62 × 7,206.47
  4. Step 4: Simplify right side
    11,922.19x = 118,565,282.88
  5. Step 5: Solve for x
    x = 118,565,282.88/11,922.19
  6. Step 6: Final answer
    x = 9,944.93

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