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Finding the Fourth Proportional to 7,163.82, 9,886.02 and 3,977.10

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Solution

The fourth proportional to 7,163.82, 9,886.02 and 3,977.10 is: 5,488.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163.82 : 9,886.02 = 3,977.10 : x
  2. Step 2: Convert to fraction form
    7,163.82/9,886.02 = 3,977.10/x
  3. Step 3: Cross multiply
    7,163.82x = 9,886.02 × 3,977.10
  4. Step 4: Simplify right side
    7,163.82x = 39,317,690.14
  5. Step 5: Solve for x
    x = 39,317,690.14/7,163.82
  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.