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Finding the Fourth Proportional to 12,759.76, 19,140.18 and 7,826.32

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Solution

The fourth proportional to 12,759.76, 19,140.18 and 7,826.32 is: 11,739.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,759.76 : 19,140.18 = 7,826.32 : x
  2. Step 2: Convert to fraction form
    12,759.76/19,140.18 = 7,826.32/x
  3. Step 3: Cross multiply
    12,759.76x = 19,140.18 × 7,826.32
  4. Step 4: Simplify right side
    12,759.76x = 149,797,173.54
  5. Step 5: Solve for x
    x = 149,797,173.54/12,759.76
  6. Step 6: Final answer
    x = 11,739.81

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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.