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Finding the Fourth Proportional to 7,205.67, 10,808.68 and 2,208.15

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Solution

The fourth proportional to 7,205.67, 10,808.68 and 2,208.15 is: 3,312.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.67 : 10,808.68 = 2,208.15 : x
  2. Step 2: Convert to fraction form
    7,205.67/10,808.68 = 2,208.15/x
  3. Step 3: Cross multiply
    7,205.67x = 10,808.68 × 2,208.15
  4. Step 4: Simplify right side
    7,205.67x = 23,867,167.06
  5. Step 5: Solve for x
    x = 23,867,167.06/7,205.67
  6. Step 6: Final answer
    x = 3,312.28

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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.