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Finding the Fourth Proportional to 10,121.76, 13,968 and 5,928.48

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Solution

The fourth proportional to 10,121.76, 13,968 and 5,928.48 is: 8,181.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,121.76 : 13,968 = 5,928.48 : x
  2. Step 2: Convert to fraction form
    10,121.76/13,968 = 5,928.48/x
  3. Step 3: Cross multiply
    10,121.76x = 13,968 × 5,928.48
  4. Step 4: Simplify right side
    10,121.76x = 82,809,008.64
  5. Step 5: Solve for x
    x = 82,809,008.64/10,121.76
  6. Step 6: Final answer
    x = 8,181.29

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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.