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Finding the Fourth Proportional to 14,181.95, 19,571.22 and 7,894.33

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Solution

The fourth proportional to 14,181.95, 19,571.22 and 7,894.33 is: 10,894.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,181.95 : 19,571.22 = 7,894.33 : x
  2. Step 2: Convert to fraction form
    14,181.95/19,571.22 = 7,894.33/x
  3. Step 3: Cross multiply
    14,181.95x = 19,571.22 × 7,894.33
  4. Step 4: Simplify right side
    14,181.95x = 154,501,669.18
  5. Step 5: Solve for x
    x = 154,501,669.18/14,181.95
  6. Step 6: Final answer
    x = 10,894.25

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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.