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Finding the Fourth Proportional to 1,914.96, 2,873.18 and 745.05

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Solution

The fourth proportional to 1,914.96, 2,873.18 and 745.05 is: 1,117.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.96 : 2,873.18 = 745.05 : x
  2. Step 2: Convert to fraction form
    1,914.96/2,873.18 = 745.05/x
  3. Step 3: Cross multiply
    1,914.96x = 2,873.18 × 745.05
  4. Step 4: Simplify right side
    1,914.96x = 2,140,664.62
  5. Step 5: Solve for x
    x = 2,140,664.62/1,914.96
  6. Step 6: Final answer
    x = 1,117.86

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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.