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Finding the Fourth Proportional to 3,147.10, 4,720.67 and 955.84

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Solution

The fourth proportional to 3,147.10, 4,720.67 and 955.84 is: 1,433.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.10 : 4,720.67 = 955.84 : x
  2. Step 2: Convert to fraction form
    3,147.10/4,720.67 = 955.84/x
  3. Step 3: Cross multiply
    3,147.10x = 4,720.67 × 955.84
  4. Step 4: Simplify right side
    3,147.10x = 4,512,205.21
  5. Step 5: Solve for x
    x = 4,512,205.21/3,147.10
  6. Step 6: Final answer
    x = 1,433.77

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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.