Home / 2,828.14-4,242.63-978.77

Finding the Fourth Proportional to 2,828.14, 4,242.63 and 978.77

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Solution

The fourth proportional to 2,828.14, 4,242.63 and 978.77 is: 1,468.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.14 : 4,242.63 = 978.77 : x
  2. Step 2: Convert to fraction form
    2,828.14/4,242.63 = 978.77/x
  3. Step 3: Cross multiply
    2,828.14x = 4,242.63 × 978.77
  4. Step 4: Simplify right side
    2,828.14x = 4,152,558.97
  5. Step 5: Solve for x
    x = 4,152,558.97/2,828.14
  6. Step 6: Final answer
    x = 1,468.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.