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Finding the Fourth Proportional to 1,922.79, 2,884 and 1,403.82

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Solution

The fourth proportional to 1,922.79, 2,884 and 1,403.82 is: 2,105.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.79 : 2,884 = 1,403.82 : x
  2. Step 2: Convert to fraction form
    1,922.79/2,884 = 1,403.82/x
  3. Step 3: Cross multiply
    1,922.79x = 2,884 × 1,403.82
  4. Step 4: Simplify right side
    1,922.79x = 4,048,616.88
  5. Step 5: Solve for x
    x = 4,048,616.88/1,922.79
  6. Step 6: Final answer
    x = 2,105.59

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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.