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Finding the Fourth Proportional to 2,830.43, 4,242.90 and 980.15

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Solution

The fourth proportional to 2,830.43, 4,242.90 and 980.15 is: 1,469.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.43 : 4,242.90 = 980.15 : x
  2. Step 2: Convert to fraction form
    2,830.43/4,242.90 = 980.15/x
  3. Step 3: Cross multiply
    2,830.43x = 4,242.90 × 980.15
  4. Step 4: Simplify right side
    2,830.43x = 4,158,657.22
  5. Step 5: Solve for x
    x = 4,158,657.22/2,830.43
  6. Step 6: Final answer
    x = 1,469.27

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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.