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Finding the Fourth Proportional to 7,137.99, 10,707.99 and 2,208.06

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Solution

The fourth proportional to 7,137.99, 10,707.99 and 2,208.06 is: 3,312.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.99 : 10,707.99 = 2,208.06 : x
  2. Step 2: Convert to fraction form
    7,137.99/10,707.99 = 2,208.06/x
  3. Step 3: Cross multiply
    7,137.99x = 10,707.99 × 2,208.06
  4. Step 4: Simplify right side
    7,137.99x = 23,643,884.40
  5. Step 5: Solve for x
    x = 23,643,884.40/7,137.99
  6. Step 6: Final answer
    x = 3,312.40

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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.