Home / 1,678.66-2,316.56-932.64

Finding the Fourth Proportional to 1,678.66, 2,316.56 and 932.64

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Solution

The fourth proportional to 1,678.66, 2,316.56 and 932.64 is: 1,287.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.66 : 2,316.56 = 932.64 : x
  2. Step 2: Convert to fraction form
    1,678.66/2,316.56 = 932.64/x
  3. Step 3: Cross multiply
    1,678.66x = 2,316.56 × 932.64
  4. Step 4: Simplify right side
    1,678.66x = 2,160,516.52
  5. Step 5: Solve for x
    x = 2,160,516.52/1,678.66
  6. Step 6: Final answer
    x = 1,287.05

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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.