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Finding the Fourth Proportional to 2,830.40, 4,245.60 and 980.90

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Solution

The fourth proportional to 2,830.40, 4,245.60 and 980.90 is: 1,471.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.40 : 4,245.60 = 980.90 : x
  2. Step 2: Convert to fraction form
    2,830.40/4,245.60 = 980.90/x
  3. Step 3: Cross multiply
    2,830.40x = 4,245.60 × 980.90
  4. Step 4: Simplify right side
    2,830.40x = 4,164,509.04
  5. Step 5: Solve for x
    x = 4,164,509.04/2,830.40
  6. Step 6: Final answer
    x = 1,471.35

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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.