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Finding the Fourth Proportional to 1,890.82, 2,832.65 and 1,069.68

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Solution

The fourth proportional to 1,890.82, 2,832.65 and 1,069.68 is: 1,602.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,890.82 : 2,832.65 = 1,069.68 : x
  2. Step 2: Convert to fraction form
    1,890.82/2,832.65 = 1,069.68/x
  3. Step 3: Cross multiply
    1,890.82x = 2,832.65 × 1,069.68
  4. Step 4: Simplify right side
    1,890.82x = 3,030,023.70
  5. Step 5: Solve for x
    x = 3,030,023.70/1,890.82
  6. Step 6: Final answer
    x = 1,602.50

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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.