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Finding the Fourth Proportional to 11,195.01, 15,445.69 and 6,478.38

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Solution

The fourth proportional to 11,195.01, 15,445.69 and 6,478.38 is: 8,938.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,195.01 : 15,445.69 = 6,478.38 : x
  2. Step 2: Convert to fraction form
    11,195.01/15,445.69 = 6,478.38/x
  3. Step 3: Cross multiply
    11,195.01x = 15,445.69 × 6,478.38
  4. Step 4: Simplify right side
    11,195.01x = 100,063,032.99
  5. Step 5: Solve for x
    x = 100,063,032.99/11,195.01
  6. Step 6: Final answer
    x = 8,938.18

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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.