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Finding the Fourth Proportional to 1,352.11, 1,860.05 and 1,102.88

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Solution

The fourth proportional to 1,352.11, 1,860.05 and 1,102.88 is: 1,517.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.11 : 1,860.05 = 1,102.88 : x
  2. Step 2: Convert to fraction form
    1,352.11/1,860.05 = 1,102.88/x
  3. Step 3: Cross multiply
    1,352.11x = 1,860.05 × 1,102.88
  4. Step 4: Simplify right side
    1,352.11x = 2,051,411.94
  5. Step 5: Solve for x
    x = 2,051,411.94/1,352.11
  6. Step 6: Final answer
    x = 1,517.19

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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.