Home / 1,678.42-2,316.17-932.36

Finding the Fourth Proportional to 1,678.42, 2,316.17 and 932.36

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Solution

The fourth proportional to 1,678.42, 2,316.17 and 932.36 is: 1,286.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.42 : 2,316.17 = 932.36 : x
  2. Step 2: Convert to fraction form
    1,678.42/2,316.17 = 932.36/x
  3. Step 3: Cross multiply
    1,678.42x = 2,316.17 × 932.36
  4. Step 4: Simplify right side
    1,678.42x = 2,159,505.42
  5. Step 5: Solve for x
    x = 2,159,505.42/1,678.42
  6. Step 6: Final answer
    x = 1,286.63

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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.