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Finding the Fourth Proportional to 12,195.07, 16,832.06 and 7,159.50

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Solution

The fourth proportional to 12,195.07, 16,832.06 and 7,159.50 is: 9,881.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195.07 : 16,832.06 = 7,159.50 : x
  2. Step 2: Convert to fraction form
    12,195.07/16,832.06 = 7,159.50/x
  3. Step 3: Cross multiply
    12,195.07x = 16,832.06 × 7,159.50
  4. Step 4: Simplify right side
    12,195.07x = 120,509,133.57
  5. Step 5: Solve for x
    x = 120,509,133.57/12,195.07
  6. Step 6: Final answer
    x = 9,881.79

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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.