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Finding the Fourth Proportional to 12,177.17, 16,804.72 and 6,872.10

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Solution

The fourth proportional to 12,177.17, 16,804.72 and 6,872.10 is: 9,483.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177.17 : 16,804.72 = 6,872.10 : x
  2. Step 2: Convert to fraction form
    12,177.17/16,804.72 = 6,872.10/x
  3. Step 3: Cross multiply
    12,177.17x = 16,804.72 × 6,872.10
  4. Step 4: Simplify right side
    12,177.17x = 115,483,716.31
  5. Step 5: Solve for x
    x = 115,483,716.31/12,177.17
  6. Step 6: Final answer
    x = 9,483.63

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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.