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Finding the Fourth Proportional to 13,879.76, 19,153.86 and 8,289.68

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Solution

The fourth proportional to 13,879.76, 19,153.86 and 8,289.68 is: 11,439.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,879.76 : 19,153.86 = 8,289.68 : x
  2. Step 2: Convert to fraction form
    13,879.76/19,153.86 = 8,289.68/x
  3. Step 3: Cross multiply
    13,879.76x = 19,153.86 × 8,289.68
  4. Step 4: Simplify right side
    13,879.76x = 158,779,370.16
  5. Step 5: Solve for x
    x = 158,779,370.16/13,879.76
  6. Step 6: Final answer
    x = 11,439.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.