Home / 1,678.33-2,316.10-932.36

Finding the Fourth Proportional to 1,678.33, 2,316.10 and 932.36

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Solution

The fourth proportional to 1,678.33, 2,316.10 and 932.36 is: 1,286.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.33 : 2,316.10 = 932.36 : x
  2. Step 2: Convert to fraction form
    1,678.33/2,316.10 = 932.36/x
  3. Step 3: Cross multiply
    1,678.33x = 2,316.10 × 932.36
  4. Step 4: Simplify right side
    1,678.33x = 2,159,444.20
  5. Step 5: Solve for x
    x = 2,159,444.20/1,678.33
  6. Step 6: Final answer
    x = 1,286.66

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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.