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Finding the Fourth Proportional to 3,458.70, 5,188.46 and 1,266.94

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Solution

The fourth proportional to 3,458.70, 5,188.46 and 1,266.94 is: 1,900.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.70 : 5,188.46 = 1,266.94 : x
  2. Step 2: Convert to fraction form
    3,458.70/5,188.46 = 1,266.94/x
  3. Step 3: Cross multiply
    3,458.70x = 5,188.46 × 1,266.94
  4. Step 4: Simplify right side
    3,458.70x = 6,573,467.66
  5. Step 5: Solve for x
    x = 6,573,467.66/3,458.70
  6. Step 6: Final answer
    x = 1,900.56

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1.5x scale

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.