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Finding the Fourth Proportional to 2,751.57, 3,798.09 and 1,573.83

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Solution

The fourth proportional to 2,751.57, 3,798.09 and 1,573.83 is: 2,172.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.57 : 3,798.09 = 1,573.83 : x
  2. Step 2: Convert to fraction form
    2,751.57/3,798.09 = 1,573.83/x
  3. Step 3: Cross multiply
    2,751.57x = 3,798.09 × 1,573.83
  4. Step 4: Simplify right side
    2,751.57x = 5,977,547.98
  5. Step 5: Solve for x
    x = 5,977,547.98/2,751.57
  6. Step 6: Final answer
    x = 2,172.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.