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Finding the Fourth Proportional to 9,195.42, 12,702.60 and 8,200.38

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Solution

The fourth proportional to 9,195.42, 12,702.60 and 8,200.38 is: 11,328.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,195.42 : 12,702.60 = 8,200.38 : x
  2. Step 2: Convert to fraction form
    9,195.42/12,702.60 = 8,200.38/x
  3. Step 3: Cross multiply
    9,195.42x = 12,702.60 × 8,200.38
  4. Step 4: Simplify right side
    9,195.42x = 104,166,146.99
  5. Step 5: Solve for x
    x = 104,166,146.99/9,195.42
  6. Step 6: Final answer
    x = 11,328.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.