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Finding the Fourth Proportional to 2,866.38, 4,299.77 and 1,135

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Solution

The fourth proportional to 2,866.38, 4,299.77 and 1,135 is: 1,702.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.38 : 4,299.77 = 1,135 : x
  2. Step 2: Convert to fraction form
    2,866.38/4,299.77 = 1,135/x
  3. Step 3: Cross multiply
    2,866.38x = 4,299.77 × 1,135
  4. Step 4: Simplify right side
    2,866.38x = 4,880,238.95
  5. Step 5: Solve for x
    x = 4,880,238.95/2,866.38
  6. Step 6: Final answer
    x = 1,702.58

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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.