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Finding the Fourth Proportional to 12,638.16, 18,954 and 6,706.98

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Solution

The fourth proportional to 12,638.16, 18,954 and 6,706.98 is: 10,058.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638.16 : 18,954 = 6,706.98 : x
  2. Step 2: Convert to fraction form
    12,638.16/18,954 = 6,706.98/x
  3. Step 3: Cross multiply
    12,638.16x = 18,954 × 6,706.98
  4. Step 4: Simplify right side
    12,638.16x = 127,124,098.92
  5. Step 5: Solve for x
    x = 127,124,098.92/12,638.16
  6. Step 6: Final answer
    x = 10,058.75

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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.