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Finding the Fourth Proportional to 1,311.48, 1,967.70 and 1,063.80

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Solution

The fourth proportional to 1,311.48, 1,967.70 and 1,063.80 is: 1,596.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.48 : 1,967.70 = 1,063.80 : x
  2. Step 2: Convert to fraction form
    1,311.48/1,967.70 = 1,063.80/x
  3. Step 3: Cross multiply
    1,311.48x = 1,967.70 × 1,063.80
  4. Step 4: Simplify right side
    1,311.48x = 2,093,239.26
  5. Step 5: Solve for x
    x = 2,093,239.26/1,311.48
  6. Step 6: Final answer
    x = 1,596.09

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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.