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Finding the Fourth Proportional to 12,879.14, 19,314.02 and 5,853.20

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Solution

The fourth proportional to 12,879.14, 19,314.02 and 5,853.20 is: 8,777.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,879.14 : 19,314.02 = 5,853.20 : x
  2. Step 2: Convert to fraction form
    12,879.14/19,314.02 = 5,853.20/x
  3. Step 3: Cross multiply
    12,879.14x = 19,314.02 × 5,853.20
  4. Step 4: Simplify right side
    12,879.14x = 113,048,821.86
  5. Step 5: Solve for x
    x = 113,048,821.86/12,879.14
  6. Step 6: Final answer
    x = 8,777.67

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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.