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Finding the Fourth Proportional to 1,922.69, 2,884.18 and 690.11

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Solution

The fourth proportional to 1,922.69, 2,884.18 and 690.11 is: 1,035.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.69 : 2,884.18 = 690.11 : x
  2. Step 2: Convert to fraction form
    1,922.69/2,884.18 = 690.11/x
  3. Step 3: Cross multiply
    1,922.69x = 2,884.18 × 690.11
  4. Step 4: Simplify right side
    1,922.69x = 1,990,406.94
  5. Step 5: Solve for x
    x = 1,990,406.94/1,922.69
  6. Step 6: Final answer
    x = 1,035.22

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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.