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Finding the Fourth Proportional to 10,197.98, 15,286.63 and 6,911.40

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Solution

The fourth proportional to 10,197.98, 15,286.63 and 6,911.40 is: 10,360.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,197.98 : 15,286.63 = 6,911.40 : x
  2. Step 2: Convert to fraction form
    10,197.98/15,286.63 = 6,911.40/x
  3. Step 3: Cross multiply
    10,197.98x = 15,286.63 × 6,911.40
  4. Step 4: Simplify right side
    10,197.98x = 105,652,014.58
  5. Step 5: Solve for x
    x = 105,652,014.58/10,197.98
  6. Step 6: Final answer
    x = 10,360.09

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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.