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Finding the Fourth Proportional to 3,474.11, 5,211.14 and 877.05

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Solution

The fourth proportional to 3,474.11, 5,211.14 and 877.05 is: 1,315.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.11 : 5,211.14 = 877.05 : x
  2. Step 2: Convert to fraction form
    3,474.11/5,211.14 = 877.05/x
  3. Step 3: Cross multiply
    3,474.11x = 5,211.14 × 877.05
  4. Step 4: Simplify right side
    3,474.11x = 4,570,425.95
  5. Step 5: Solve for x
    x = 4,570,425.95/3,474.11
  6. Step 6: Final answer
    x = 1,315.57

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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.