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Finding the Fourth Proportional to 2,069.50, 2,855.91 and 1,138

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Solution

The fourth proportional to 2,069.50, 2,855.91 and 1,138 is: 1,570.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.50 : 2,855.91 = 1,138 : x
  2. Step 2: Convert to fraction form
    2,069.50/2,855.91 = 1,138/x
  3. Step 3: Cross multiply
    2,069.50x = 2,855.91 × 1,138
  4. Step 4: Simplify right side
    2,069.50x = 3,250,025.58
  5. Step 5: Solve for x
    x = 3,250,025.58/2,069.50
  6. Step 6: Final answer
    x = 1,570.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.