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Finding the Fourth Proportional to 7,137.03, 9,849.02 and 3,993.22

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Solution

The fourth proportional to 7,137.03, 9,849.02 and 3,993.22 is: 5,510.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.03 : 9,849.02 = 3,993.22 : x
  2. Step 2: Convert to fraction form
    7,137.03/9,849.02 = 3,993.22/x
  3. Step 3: Cross multiply
    7,137.03x = 9,849.02 × 3,993.22
  4. Step 4: Simplify right side
    7,137.03x = 39,329,303.64
  5. Step 5: Solve for x
    x = 39,329,303.64/7,137.03
  6. Step 6: Final answer
    x = 5,510.60

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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.