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Finding the Fourth Proportional to 1,275.94, 1,900.94 and 1,220.05

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Solution

The fourth proportional to 1,275.94, 1,900.94 and 1,220.05 is: 1,817.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.94 : 1,900.94 = 1,220.05 : x
  2. Step 2: Convert to fraction form
    1,275.94/1,900.94 = 1,220.05/x
  3. Step 3: Cross multiply
    1,275.94x = 1,900.94 × 1,220.05
  4. Step 4: Simplify right side
    1,275.94x = 2,319,241.85
  5. Step 5: Solve for x
    x = 2,319,241.85/1,275.94
  6. Step 6: Final answer
    x = 1,817.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.