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Finding the Fourth Proportional to 12,676, 19,014.08 and 3,442.08

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Solution

The fourth proportional to 12,676, 19,014.08 and 3,442.08 is: 5,163.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,676 : 19,014.08 = 3,442.08 : x
  2. Step 2: Convert to fraction form
    12,676/19,014.08 = 3,442.08/x
  3. Step 3: Cross multiply
    12,676x = 19,014.08 × 3,442.08
  4. Step 4: Simplify right side
    12,676x = 65,447,984.49
  5. Step 5: Solve for x
    x = 65,447,984.49/12,676
  6. Step 6: Final answer
    x = 5,163.14

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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.