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Finding the Fourth Proportional to 3,587.50, 5,381.34 and 1,279

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Solution

The fourth proportional to 3,587.50, 5,381.34 and 1,279 is: 1,918.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,587.50 : 5,381.34 = 1,279 : x
  2. Step 2: Convert to fraction form
    3,587.50/5,381.34 = 1,279/x
  3. Step 3: Cross multiply
    3,587.50x = 5,381.34 × 1,279
  4. Step 4: Simplify right side
    3,587.50x = 6,882,733.86
  5. Step 5: Solve for x
    x = 6,882,733.86/3,587.50
  6. Step 6: Final answer
    x = 1,918.53

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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.