Home / 1,678.06-2,315.80-932.02

Finding the Fourth Proportional to 1,678.06, 2,315.80 and 932.02

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Solution

The fourth proportional to 1,678.06, 2,315.80 and 932.02 is: 1,286.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.06 : 2,315.80 = 932.02 : x
  2. Step 2: Convert to fraction form
    1,678.06/2,315.80 = 932.02/x
  3. Step 3: Cross multiply
    1,678.06x = 2,315.80 × 932.02
  4. Step 4: Simplify right side
    1,678.06x = 2,158,371.92
  5. Step 5: Solve for x
    x = 2,158,371.92/1,678.06
  6. Step 6: Final answer
    x = 1,286.23

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1.5x scale

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.