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Finding the Fourth Proportional to 3,147.10, 4,720.56 and 955.78

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Solution

The fourth proportional to 3,147.10, 4,720.56 and 955.78 is: 1,433.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.10 : 4,720.56 = 955.78 : x
  2. Step 2: Convert to fraction form
    3,147.10/4,720.56 = 955.78/x
  3. Step 3: Cross multiply
    3,147.10x = 4,720.56 × 955.78
  4. Step 4: Simplify right side
    3,147.10x = 4,511,816.84
  5. Step 5: Solve for x
    x = 4,511,816.84/3,147.10
  6. Step 6: Final answer
    x = 1,433.64

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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.