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Finding the Fourth Proportional to 2,795, 4,193.16 and 847.08

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Solution

The fourth proportional to 2,795, 4,193.16 and 847.08 is: 1,270.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795 : 4,193.16 = 847.08 : x
  2. Step 2: Convert to fraction form
    2,795/4,193.16 = 847.08/x
  3. Step 3: Cross multiply
    2,795x = 4,193.16 × 847.08
  4. Step 4: Simplify right side
    2,795x = 3,551,941.97
  5. Step 5: Solve for x
    x = 3,551,941.97/2,795
  6. Step 6: Final answer
    x = 1,270.82

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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.