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Finding the Fourth Proportional to 6,651.98, 9,979.54 and 1,972.03

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Solution

The fourth proportional to 6,651.98, 9,979.54 and 1,972.03 is: 2,958.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,651.98 : 9,979.54 = 1,972.03 : x
  2. Step 2: Convert to fraction form
    6,651.98/9,979.54 = 1,972.03/x
  3. Step 3: Cross multiply
    6,651.98x = 9,979.54 × 1,972.03
  4. Step 4: Simplify right side
    6,651.98x = 19,679,959.81
  5. Step 5: Solve for x
    x = 19,679,959.81/6,651.98
  6. Step 6: Final answer
    x = 2,958.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.