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Finding the Fourth Proportional to 2,205, 3,307.62 and 666.12

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Solution

The fourth proportional to 2,205, 3,307.62 and 666.12 is: 999.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205 : 3,307.62 = 666.12 : x
  2. Step 2: Convert to fraction form
    2,205/3,307.62 = 666.12/x
  3. Step 3: Cross multiply
    2,205x = 3,307.62 × 666.12
  4. Step 4: Simplify right side
    2,205x = 2,203,271.83
  5. Step 5: Solve for x
    x = 2,203,271.83/2,205
  6. Step 6: Final answer
    x = 999.22

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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.