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Finding the Fourth Proportional to 2,795.56, 4,193.95 and 847.91

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Solution

The fourth proportional to 2,795.56, 4,193.95 and 847.91 is: 1,272.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.56 : 4,193.95 = 847.91 : x
  2. Step 2: Convert to fraction form
    2,795.56/4,193.95 = 847.91/x
  3. Step 3: Cross multiply
    2,795.56x = 4,193.95 × 847.91
  4. Step 4: Simplify right side
    2,795.56x = 3,556,087.90
  5. Step 5: Solve for x
    x = 3,556,087.90/2,795.56
  6. Step 6: Final answer
    x = 1,272.05

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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.