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Finding the Fourth Proportional to 2,946.60, 4,419.90 and 998.78

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Solution

The fourth proportional to 2,946.60, 4,419.90 and 998.78 is: 1,498.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.60 : 4,419.90 = 998.78 : x
  2. Step 2: Convert to fraction form
    2,946.60/4,419.90 = 998.78/x
  3. Step 3: Cross multiply
    2,946.60x = 4,419.90 × 998.78
  4. Step 4: Simplify right side
    2,946.60x = 4,414,485.62
  5. Step 5: Solve for x
    x = 4,414,485.62/2,946.60
  6. Step 6: Final answer
    x = 1,498.16

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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.