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Finding the Fourth Proportional to 1,900.90, 2,851.32 and 584.65

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Solution

The fourth proportional to 1,900.90, 2,851.32 and 584.65 is: 876.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.90 : 2,851.32 = 584.65 : x
  2. Step 2: Convert to fraction form
    1,900.90/2,851.32 = 584.65/x
  3. Step 3: Cross multiply
    1,900.90x = 2,851.32 × 584.65
  4. Step 4: Simplify right side
    1,900.90x = 1,667,024.24
  5. Step 5: Solve for x
    x = 1,667,024.24/1,900.90
  6. Step 6: Final answer
    x = 876.97

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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.