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Finding the Fourth Proportional to 12,863.18, 19,291.85 and 6,196.28

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Solution

The fourth proportional to 12,863.18, 19,291.85 and 6,196.28 is: 9,293.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,863.18 : 19,291.85 = 6,196.28 : x
  2. Step 2: Convert to fraction form
    12,863.18/19,291.85 = 6,196.28/x
  3. Step 3: Cross multiply
    12,863.18x = 19,291.85 × 6,196.28
  4. Step 4: Simplify right side
    12,863.18x = 119,537,576.88
  5. Step 5: Solve for x
    x = 119,537,576.88/12,863.18
  6. Step 6: Final answer
    x = 9,293.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.