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Finding the Fourth Proportional to 2,108.54, 3,162.23 and 627.75

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Solution

The fourth proportional to 2,108.54, 3,162.23 and 627.75 is: 941.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.54 : 3,162.23 = 627.75 : x
  2. Step 2: Convert to fraction form
    2,108.54/3,162.23 = 627.75/x
  3. Step 3: Cross multiply
    2,108.54x = 3,162.23 × 627.75
  4. Step 4: Simplify right side
    2,108.54x = 1,985,089.88
  5. Step 5: Solve for x
    x = 1,985,089.88/2,108.54
  6. Step 6: Final answer
    x = 941.45

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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.