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Finding the Fourth Proportional to 12,984.88, 19,481.95 and 4,219.82

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Solution

The fourth proportional to 12,984.88, 19,481.95 and 4,219.82 is: 6,331.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,984.88 : 19,481.95 = 4,219.82 : x
  2. Step 2: Convert to fraction form
    12,984.88/19,481.95 = 4,219.82/x
  3. Step 3: Cross multiply
    12,984.88x = 19,481.95 × 4,219.82
  4. Step 4: Simplify right side
    12,984.88x = 82,210,376.23
  5. Step 5: Solve for x
    x = 82,210,376.23/12,984.88
  6. Step 6: Final answer
    x = 6,331.24

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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.