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Finding the Fourth Proportional to 12,707.85, 19,068.36 and 8,494.05

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Solution

The fourth proportional to 12,707.85, 19,068.36 and 8,494.05 is: 12,745.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,707.85 : 19,068.36 = 8,494.05 : x
  2. Step 2: Convert to fraction form
    12,707.85/19,068.36 = 8,494.05/x
  3. Step 3: Cross multiply
    12,707.85x = 19,068.36 × 8,494.05
  4. Step 4: Simplify right side
    12,707.85x = 161,967,603.26
  5. Step 5: Solve for x
    x = 161,967,603.26/12,707.85
  6. Step 6: Final answer
    x = 12,745.48

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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.