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Finding the Fourth Proportional to 1,412.67, 2,119.37 and 762.51

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Solution

The fourth proportional to 1,412.67, 2,119.37 and 762.51 is: 1,143.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.67 : 2,119.37 = 762.51 : x
  2. Step 2: Convert to fraction form
    1,412.67/2,119.37 = 762.51/x
  3. Step 3: Cross multiply
    1,412.67x = 2,119.37 × 762.51
  4. Step 4: Simplify right side
    1,412.67x = 1,616,037.01
  5. Step 5: Solve for x
    x = 1,616,037.01/1,412.67
  6. Step 6: Final answer
    x = 1,143.96

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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.