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Finding the Fourth Proportional to 2,919.84, 4,388.56 and 1,900.32

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Solution

The fourth proportional to 2,919.84, 4,388.56 and 1,900.32 is: 2,856.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.84 : 4,388.56 = 1,900.32 : x
  2. Step 2: Convert to fraction form
    2,919.84/4,388.56 = 1,900.32/x
  3. Step 3: Cross multiply
    2,919.84x = 4,388.56 × 1,900.32
  4. Step 4: Simplify right side
    2,919.84x = 8,339,668.34
  5. Step 5: Solve for x
    x = 8,339,668.34/2,919.84
  6. Step 6: Final answer
    x = 2,856.21

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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.