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Finding the Fourth Proportional to 7,072.28, 10,608.28 and 1,878

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Solution

The fourth proportional to 7,072.28, 10,608.28 and 1,878 is: 2,816.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,072.28 : 10,608.28 = 1,878 : x
  2. Step 2: Convert to fraction form
    7,072.28/10,608.28 = 1,878/x
  3. Step 3: Cross multiply
    7,072.28x = 10,608.28 × 1,878
  4. Step 4: Simplify right side
    7,072.28x = 19,922,349.84
  5. Step 5: Solve for x
    x = 19,922,349.84/7,072.28
  6. Step 6: Final answer
    x = 2,816.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.