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Finding the Fourth Proportional to 2,847.48, 4,271.04 and 900.96

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Solution

The fourth proportional to 2,847.48, 4,271.04 and 900.96 is: 1,351.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.48 : 4,271.04 = 900.96 : x
  2. Step 2: Convert to fraction form
    2,847.48/4,271.04 = 900.96/x
  3. Step 3: Cross multiply
    2,847.48x = 4,271.04 × 900.96
  4. Step 4: Simplify right side
    2,847.48x = 3,848,036.20
  5. Step 5: Solve for x
    x = 3,848,036.20/2,847.48
  6. Step 6: Final answer
    x = 1,351.38

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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.