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Finding the Fourth Proportional to 3,190.17, 4,784.94 and 998.84

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Solution

The fourth proportional to 3,190.17, 4,784.94 and 998.84 is: 1,498.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.17 : 4,784.94 = 998.84 : x
  2. Step 2: Convert to fraction form
    3,190.17/4,784.94 = 998.84/x
  3. Step 3: Cross multiply
    3,190.17x = 4,784.94 × 998.84
  4. Step 4: Simplify right side
    3,190.17x = 4,779,365.54
  5. Step 5: Solve for x
    x = 4,779,365.54/3,190.17
  6. Step 6: Final answer
    x = 1,498.15

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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.