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Finding the Fourth Proportional to 1,412.74, 2,118.96 and 891.25

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Solution

The fourth proportional to 1,412.74, 2,118.96 and 891.25 is: 1,336.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.74 : 2,118.96 = 891.25 : x
  2. Step 2: Convert to fraction form
    1,412.74/2,118.96 = 891.25/x
  3. Step 3: Cross multiply
    1,412.74x = 2,118.96 × 891.25
  4. Step 4: Simplify right side
    1,412.74x = 1,888,529.72
  5. Step 5: Solve for x
    x = 1,888,529.72/1,412.74
  6. Step 6: Final answer
    x = 1,336.78

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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.