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Finding the Fourth Proportional to 7,003.33, 9,662.90 and 3,977.78

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Solution

The fourth proportional to 7,003.33, 9,662.90 and 3,977.78 is: 5,488.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003.33 : 9,662.90 = 3,977.78 : x
  2. Step 2: Convert to fraction form
    7,003.33/9,662.90 = 3,977.78/x
  3. Step 3: Cross multiply
    7,003.33x = 9,662.90 × 3,977.78
  4. Step 4: Simplify right side
    7,003.33x = 38,436,822.16
  5. Step 5: Solve for x
    x = 38,436,822.16/7,003.33
  6. Step 6: Final answer
    x = 5,488.37

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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.