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Finding the Fourth Proportional to 12,727.50, 19,091.61 and 3,493.50

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Solution

The fourth proportional to 12,727.50, 19,091.61 and 3,493.50 is: 5,240.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,727.50 : 19,091.61 = 3,493.50 : x
  2. Step 2: Convert to fraction form
    12,727.50/19,091.61 = 3,493.50/x
  3. Step 3: Cross multiply
    12,727.50x = 19,091.61 × 3,493.50
  4. Step 4: Simplify right side
    12,727.50x = 66,696,539.54
  5. Step 5: Solve for x
    x = 66,696,539.54/12,727.50
  6. Step 6: Final answer
    x = 5,240.35

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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.