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Finding the Fourth Proportional to 2,796.55, 4,195.46 and 947.55

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Solution

The fourth proportional to 2,796.55, 4,195.46 and 947.55 is: 1,421.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.55 : 4,195.46 = 947.55 : x
  2. Step 2: Convert to fraction form
    2,796.55/4,195.46 = 947.55/x
  3. Step 3: Cross multiply
    2,796.55x = 4,195.46 × 947.55
  4. Step 4: Simplify right side
    2,796.55x = 3,975,408.12
  5. Step 5: Solve for x
    x = 3,975,408.12/2,796.55
  6. Step 6: Final answer
    x = 1,421.54

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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.