Home / 1,678.56-2,316.44-932.64

Finding the Fourth Proportional to 1,678.56, 2,316.44 and 932.64

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Solution

The fourth proportional to 1,678.56, 2,316.44 and 932.64 is: 1,287.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.56 : 2,316.44 = 932.64 : x
  2. Step 2: Convert to fraction form
    1,678.56/2,316.44 = 932.64/x
  3. Step 3: Cross multiply
    1,678.56x = 2,316.44 × 932.64
  4. Step 4: Simplify right side
    1,678.56x = 2,160,404.60
  5. Step 5: Solve for x
    x = 2,160,404.60/1,678.56
  6. Step 6: Final answer
    x = 1,287.06

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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.