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Finding the Fourth Proportional to 6,647.78, 9,968.67 and 1,966.19

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Solution

The fourth proportional to 6,647.78, 9,968.67 and 1,966.19 is: 2,948.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.78 : 9,968.67 = 1,966.19 : x
  2. Step 2: Convert to fraction form
    6,647.78/9,968.67 = 1,966.19/x
  3. Step 3: Cross multiply
    6,647.78x = 9,968.67 × 1,966.19
  4. Step 4: Simplify right side
    6,647.78x = 19,600,249.42
  5. Step 5: Solve for x
    x = 19,600,249.42/6,647.78
  6. Step 6: Final answer
    x = 2,948.39

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1.5x scale

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.