Home / 1,678.85-2,316.56-932.81

Finding the Fourth Proportional to 1,678.85, 2,316.56 and 932.81

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Solution

The fourth proportional to 1,678.85, 2,316.56 and 932.81 is: 1,287.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.85 : 2,316.56 = 932.81 : x
  2. Step 2: Convert to fraction form
    1,678.85/2,316.56 = 932.81/x
  3. Step 3: Cross multiply
    1,678.85x = 2,316.56 × 932.81
  4. Step 4: Simplify right side
    1,678.85x = 2,160,894.09
  5. Step 5: Solve for x
    x = 2,160,894.09/1,678.85
  6. Step 6: Final answer
    x = 1,287.13

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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.