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Finding the Fourth Proportional to 2,206.78, 3,307.87 and 890.53

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Solution

The fourth proportional to 2,206.78, 3,307.87 and 890.53 is: 1,334.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.78 : 3,307.87 = 890.53 : x
  2. Step 2: Convert to fraction form
    2,206.78/3,307.87 = 890.53/x
  3. Step 3: Cross multiply
    2,206.78x = 3,307.87 × 890.53
  4. Step 4: Simplify right side
    2,206.78x = 2,945,750.31
  5. Step 5: Solve for x
    x = 2,945,750.31/2,206.78
  6. Step 6: Final answer
    x = 1,334.87

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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.