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Finding the Fourth Proportional to 3,518.64, 5,279.76 and 1,328.76

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Solution

The fourth proportional to 3,518.64, 5,279.76 and 1,328.76 is: 1,993.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,518.64 : 5,279.76 = 1,328.76 : x
  2. Step 2: Convert to fraction form
    3,518.64/5,279.76 = 1,328.76/x
  3. Step 3: Cross multiply
    3,518.64x = 5,279.76 × 1,328.76
  4. Step 4: Simplify right side
    3,518.64x = 7,015,533.90
  5. Step 5: Solve for x
    x = 7,015,533.90/3,518.64
  6. Step 6: Final answer
    x = 1,993.82

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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.