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Finding the Fourth Proportional to 5,299.20, 7,941.60 and 3,539.20

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Solution

The fourth proportional to 5,299.20, 7,941.60 and 3,539.20 is: 5,303.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.20 : 7,941.60 = 3,539.20 : x
  2. Step 2: Convert to fraction form
    5,299.20/7,941.60 = 3,539.20/x
  3. Step 3: Cross multiply
    5,299.20x = 7,941.60 × 3,539.20
  4. Step 4: Simplify right side
    5,299.20x = 28,106,910.72
  5. Step 5: Solve for x
    x = 28,106,910.72/5,299.20
  6. Step 6: Final answer
    x = 5,303.99

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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.