Home / 1,678.64-2,316.66-932.74

Finding the Fourth Proportional to 1,678.64, 2,316.66 and 932.74

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Solution

The fourth proportional to 1,678.64, 2,316.66 and 932.74 is: 1,287.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.64 : 2,316.66 = 932.74 : x
  2. Step 2: Convert to fraction form
    1,678.64/2,316.66 = 932.74/x
  3. Step 3: Cross multiply
    1,678.64x = 2,316.66 × 932.74
  4. Step 4: Simplify right side
    1,678.64x = 2,160,841.45
  5. Step 5: Solve for x
    x = 2,160,841.45/1,678.64
  6. Step 6: Final answer
    x = 1,287.26

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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.