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Finding the Fourth Proportional to 5,283.56, 7,928.80 and 1,996.65

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Solution

The fourth proportional to 5,283.56, 7,928.80 and 1,996.65 is: 2,996.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.56 : 7,928.80 = 1,996.65 : x
  2. Step 2: Convert to fraction form
    5,283.56/7,928.80 = 1,996.65/x
  3. Step 3: Cross multiply
    5,283.56x = 7,928.80 × 1,996.65
  4. Step 4: Simplify right side
    5,283.56x = 15,831,051.62
  5. Step 5: Solve for x
    x = 15,831,051.62/5,283.56
  6. Step 6: Final answer
    x = 2,996.29

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1.5x scale

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.