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Finding the Fourth Proportional to 12,871.76, 19,293.84 and 8,427.74

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Solution

The fourth proportional to 12,871.76, 19,293.84 and 8,427.74 is: 12,632.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,871.76 : 19,293.84 = 8,427.74 : x
  2. Step 2: Convert to fraction form
    12,871.76/19,293.84 = 8,427.74/x
  3. Step 3: Cross multiply
    12,871.76x = 19,293.84 × 8,427.74
  4. Step 4: Simplify right side
    12,871.76x = 162,603,467.12
  5. Step 5: Solve for x
    x = 162,603,467.12/12,871.76
  6. Step 6: Final answer
    x = 12,632.57

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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.