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Finding the Fourth Proportional to 1,914.74, 2,872.10 and 874.46

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Solution

The fourth proportional to 1,914.74, 2,872.10 and 874.46 is: 1,311.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.74 : 2,872.10 = 874.46 : x
  2. Step 2: Convert to fraction form
    1,914.74/2,872.10 = 874.46/x
  3. Step 3: Cross multiply
    1,914.74x = 2,872.10 × 874.46
  4. Step 4: Simplify right side
    1,914.74x = 2,511,534.58
  5. Step 5: Solve for x
    x = 2,511,534.58/1,914.74
  6. Step 6: Final answer
    x = 1,311.69

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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.