Home / 1,678.14-2,315.87-932.06

Finding the Fourth Proportional to 1,678.14, 2,315.87 and 932.06

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Solution

The fourth proportional to 1,678.14, 2,315.87 and 932.06 is: 1,286.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.14 : 2,315.87 = 932.06 : x
  2. Step 2: Convert to fraction form
    1,678.14/2,315.87 = 932.06/x
  3. Step 3: Cross multiply
    1,678.14x = 2,315.87 × 932.06
  4. Step 4: Simplify right side
    1,678.14x = 2,158,539.66
  5. Step 5: Solve for x
    x = 2,158,539.66/1,678.14
  6. Step 6: Final answer
    x = 1,286.27

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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.