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Finding the Fourth Proportional to 3,320.50, 4,978.90 and 1,539.61

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Solution

The fourth proportional to 3,320.50, 4,978.90 and 1,539.61 is: 2,308.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,320.50 : 4,978.90 = 1,539.61 : x
  2. Step 2: Convert to fraction form
    3,320.50/4,978.90 = 1,539.61/x
  3. Step 3: Cross multiply
    3,320.50x = 4,978.90 × 1,539.61
  4. Step 4: Simplify right side
    3,320.50x = 7,665,564.23
  5. Step 5: Solve for x
    x = 7,665,564.23/3,320.50
  6. Step 6: Final answer
    x = 2,308.56

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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.