Home / 1,678.28-2,316.30-1,284.56

Finding the Fourth Proportional to 1,678.28, 2,316.30 and 1,284.56

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Solution

The fourth proportional to 1,678.28, 2,316.30 and 1,284.56 is: 1,772.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.28 : 2,316.30 = 1,284.56 : x
  2. Step 2: Convert to fraction form
    1,678.28/2,316.30 = 1,284.56/x
  3. Step 3: Cross multiply
    1,678.28x = 2,316.30 × 1,284.56
  4. Step 4: Simplify right side
    1,678.28x = 2,975,426.33
  5. Step 5: Solve for x
    x = 2,975,426.33/1,678.28
  6. Step 6: Final answer
    x = 1,772.90

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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.