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Finding the Fourth Proportional to 1,266.61, 1,896.98 and 1,110.89

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Solution

The fourth proportional to 1,266.61, 1,896.98 and 1,110.89 is: 1,663.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.61 : 1,896.98 = 1,110.89 : x
  2. Step 2: Convert to fraction form
    1,266.61/1,896.98 = 1,110.89/x
  3. Step 3: Cross multiply
    1,266.61x = 1,896.98 × 1,110.89
  4. Step 4: Simplify right side
    1,266.61x = 2,107,336.11
  5. Step 5: Solve for x
    x = 2,107,336.11/1,266.61
  6. Step 6: Final answer
    x = 1,663.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.