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Finding the Fourth Proportional to 1,352.07, 1,866.21 and 1,211.94

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Solution

The fourth proportional to 1,352.07, 1,866.21 and 1,211.94 is: 1,672.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.07 : 1,866.21 = 1,211.94 : x
  2. Step 2: Convert to fraction form
    1,352.07/1,866.21 = 1,211.94/x
  3. Step 3: Cross multiply
    1,352.07x = 1,866.21 × 1,211.94
  4. Step 4: Simplify right side
    1,352.07x = 2,261,730.00
  5. Step 5: Solve for x
    x = 2,261,730.00/1,352.07
  6. Step 6: Final answer
    x = 1,672.79

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Why These Related Problems?

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