Home / 1,534.82-2,118.09-945.74

Finding the Fourth Proportional to 1,534.82, 2,118.09 and 945.74

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Solution

The fourth proportional to 1,534.82, 2,118.09 and 945.74 is: 1,305.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.82 : 2,118.09 = 945.74 : x
  2. Step 2: Convert to fraction form
    1,534.82/2,118.09 = 945.74/x
  3. Step 3: Cross multiply
    1,534.82x = 2,118.09 × 945.74
  4. Step 4: Simplify right side
    1,534.82x = 2,003,162.44
  5. Step 5: Solve for x
    x = 2,003,162.44/1,534.82
  6. Step 6: Final answer
    x = 1,305.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.