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Finding the Fourth Proportional to 1,819.53, 2,730.38 and 895.19

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Solution

The fourth proportional to 1,819.53, 2,730.38 and 895.19 is: 1,343.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.53 : 2,730.38 = 895.19 : x
  2. Step 2: Convert to fraction form
    1,819.53/2,730.38 = 895.19/x
  3. Step 3: Cross multiply
    1,819.53x = 2,730.38 × 895.19
  4. Step 4: Simplify right side
    1,819.53x = 2,444,190.74
  5. Step 5: Solve for x
    x = 2,444,190.74/1,819.53
  6. Step 6: Final answer
    x = 1,343.31

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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.