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Finding the Fourth Proportional to 1,944.90, 2,917.35 and 628.65

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Solution

The fourth proportional to 1,944.90, 2,917.35 and 628.65 is: 942.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944.90 : 2,917.35 = 628.65 : x
  2. Step 2: Convert to fraction form
    1,944.90/2,917.35 = 628.65/x
  3. Step 3: Cross multiply
    1,944.90x = 2,917.35 × 628.65
  4. Step 4: Simplify right side
    1,944.90x = 1,833,992.08
  5. Step 5: Solve for x
    x = 1,833,992.08/1,944.90
  6. Step 6: Final answer
    x = 942.98

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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.