Home / 1,678.06-2,315.87-932.05

Finding the Fourth Proportional to 1,678.06, 2,315.87 and 932.05

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Solution

The fourth proportional to 1,678.06, 2,315.87 and 932.05 is: 1,286.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.06 : 2,315.87 = 932.05 : x
  2. Step 2: Convert to fraction form
    1,678.06/2,315.87 = 932.05/x
  3. Step 3: Cross multiply
    1,678.06x = 2,315.87 × 932.05
  4. Step 4: Simplify right side
    1,678.06x = 2,158,506.63
  5. Step 5: Solve for x
    x = 2,158,506.63/1,678.06
  6. Step 6: Final answer
    x = 1,286.31

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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.