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Finding the Fourth Proportional to 2,795.28, 4,192.80 and 847.44

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Solution

The fourth proportional to 2,795.28, 4,192.80 and 847.44 is: 1,271.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.28 : 4,192.80 = 847.44 : x
  2. Step 2: Convert to fraction form
    2,795.28/4,192.80 = 847.44/x
  3. Step 3: Cross multiply
    2,795.28x = 4,192.80 × 847.44
  4. Step 4: Simplify right side
    2,795.28x = 3,553,146.43
  5. Step 5: Solve for x
    x = 3,553,146.43/2,795.28
  6. Step 6: Final answer
    x = 1,271.12

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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.