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Finding the Fourth Proportional to 10,874.44, 15,015.92 and 6,902.60

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Solution

The fourth proportional to 10,874.44, 15,015.92 and 6,902.60 is: 9,531.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.44 : 15,015.92 = 6,902.60 : x
  2. Step 2: Convert to fraction form
    10,874.44/15,015.92 = 6,902.60/x
  3. Step 3: Cross multiply
    10,874.44x = 15,015.92 × 6,902.60
  4. Step 4: Simplify right side
    10,874.44x = 103,648,889.39
  5. Step 5: Solve for x
    x = 103,648,889.39/10,874.44
  6. Step 6: Final answer
    x = 9,531.42

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1.5x scale

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.