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Finding the Fourth Proportional to 12,165.72, 16,788.70 and 6,576.72

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Solution

The fourth proportional to 12,165.72, 16,788.70 and 6,576.72 is: 9,075.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.72 : 16,788.70 = 6,576.72 : x
  2. Step 2: Convert to fraction form
    12,165.72/16,788.70 = 6,576.72/x
  3. Step 3: Cross multiply
    12,165.72x = 16,788.70 × 6,576.72
  4. Step 4: Simplify right side
    12,165.72x = 110,414,579.06
  5. Step 5: Solve for x
    x = 110,414,579.06/12,165.72
  6. Step 6: Final answer
    x = 9,075.88

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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.