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Finding the Fourth Proportional to 11,754.82, 16,219.64 and 6,972.89

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Solution

The fourth proportional to 11,754.82, 16,219.64 and 6,972.89 is: 9,621.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.82 : 16,219.64 = 6,972.89 : x
  2. Step 2: Convert to fraction form
    11,754.82/16,219.64 = 6,972.89/x
  3. Step 3: Cross multiply
    11,754.82x = 16,219.64 × 6,972.89
  4. Step 4: Simplify right side
    11,754.82x = 113,097,701.89
  5. Step 5: Solve for x
    x = 113,097,701.89/11,754.82
  6. Step 6: Final answer
    x = 9,621.39

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1.5x scale

Why These Related Problems?

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