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Finding the Fourth Proportional to 2,828.66, 4,242.98 and 979.76

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Solution

The fourth proportional to 2,828.66, 4,242.98 and 979.76 is: 1,469.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.66 : 4,242.98 = 979.76 : x
  2. Step 2: Convert to fraction form
    2,828.66/4,242.98 = 979.76/x
  3. Step 3: Cross multiply
    2,828.66x = 4,242.98 × 979.76
  4. Step 4: Simplify right side
    2,828.66x = 4,157,115.14
  5. Step 5: Solve for x
    x = 4,157,115.14/2,828.66
  6. Step 6: Final answer
    x = 1,469.64

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1.5x scale

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.