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Finding the Fourth Proportional to 3,190.16, 4,785.50 and 998.88

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Solution

The fourth proportional to 3,190.16, 4,785.50 and 998.88 is: 1,498.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.16 : 4,785.50 = 998.88 : x
  2. Step 2: Convert to fraction form
    3,190.16/4,785.50 = 998.88/x
  3. Step 3: Cross multiply
    3,190.16x = 4,785.50 × 998.88
  4. Step 4: Simplify right side
    3,190.16x = 4,780,140.24
  5. Step 5: Solve for x
    x = 4,780,140.24/3,190.16
  6. Step 6: Final answer
    x = 1,498.40

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