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Finding the Fourth Proportional to 3,318.85, 4,978.26 and 1,582.21

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Solution

The fourth proportional to 3,318.85, 4,978.26 and 1,582.21 is: 2,373.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,318.85 : 4,978.26 = 1,582.21 : x
  2. Step 2: Convert to fraction form
    3,318.85/4,978.26 = 1,582.21/x
  3. Step 3: Cross multiply
    3,318.85x = 4,978.26 × 1,582.21
  4. Step 4: Simplify right side
    3,318.85x = 7,876,652.75
  5. Step 5: Solve for x
    x = 7,876,652.75/3,318.85
  6. Step 6: Final answer
    x = 2,373.31

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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.