Home / 1,678.52-2,316.31-932.47

Finding the Fourth Proportional to 1,678.52, 2,316.31 and 932.47

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Solution

The fourth proportional to 1,678.52, 2,316.31 and 932.47 is: 1,286.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.52 : 2,316.31 = 932.47 : x
  2. Step 2: Convert to fraction form
    1,678.52/2,316.31 = 932.47/x
  3. Step 3: Cross multiply
    1,678.52x = 2,316.31 × 932.47
  4. Step 4: Simplify right side
    1,678.52x = 2,159,881.46
  5. Step 5: Solve for x
    x = 2,159,881.46/1,678.52
  6. Step 6: Final answer
    x = 1,286.78

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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.