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Finding the Fourth Proportional to 2,206.10, 3,308.43 and 666.74

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Solution

The fourth proportional to 2,206.10, 3,308.43 and 666.74 is: 999.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.10 : 3,308.43 = 666.74 : x
  2. Step 2: Convert to fraction form
    2,206.10/3,308.43 = 666.74/x
  3. Step 3: Cross multiply
    2,206.10x = 3,308.43 × 666.74
  4. Step 4: Simplify right side
    2,206.10x = 2,205,862.62
  5. Step 5: Solve for x
    x = 2,205,862.62/2,206.10
  6. Step 6: Final answer
    x = 999.89

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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.