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Finding the Fourth Proportional to 7,956.52, 10,980.42 and 4,419.80

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Solution

The fourth proportional to 7,956.52, 10,980.42 and 4,419.80 is: 6,099.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,956.52 : 10,980.42 = 4,419.80 : x
  2. Step 2: Convert to fraction form
    7,956.52/10,980.42 = 4,419.80/x
  3. Step 3: Cross multiply
    7,956.52x = 10,980.42 × 4,419.80
  4. Step 4: Simplify right side
    7,956.52x = 48,531,260.32
  5. Step 5: Solve for x
    x = 48,531,260.32/7,956.52
  6. Step 6: Final answer
    x = 6,099.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.