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Finding the Fourth Proportional to 3,182, 4,773.12 and 990.72

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Solution

The fourth proportional to 3,182, 4,773.12 and 990.72 is: 1,486.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182 : 4,773.12 = 990.72 : x
  2. Step 2: Convert to fraction form
    3,182/4,773.12 = 990.72/x
  3. Step 3: Cross multiply
    3,182x = 4,773.12 × 990.72
  4. Step 4: Simplify right side
    3,182x = 4,728,825.45
  5. Step 5: Solve for x
    x = 4,728,825.45/3,182
  6. Step 6: Final answer
    x = 1,486.12

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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.