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Finding the Fourth Proportional to 13,153.76, 19,730.44 and 3,919.76

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Solution

The fourth proportional to 13,153.76, 19,730.44 and 3,919.76 is: 5,879.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,153.76 : 19,730.44 = 3,919.76 : x
  2. Step 2: Convert to fraction form
    13,153.76/19,730.44 = 3,919.76/x
  3. Step 3: Cross multiply
    13,153.76x = 19,730.44 × 3,919.76
  4. Step 4: Simplify right side
    13,153.76x = 77,338,589.49
  5. Step 5: Solve for x
    x = 77,338,589.49/13,153.76
  6. Step 6: Final answer
    x = 5,879.58

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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.