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Finding the Fourth Proportional to 7,970.80, 11,958.92 and 4,071.92

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Solution

The fourth proportional to 7,970.80, 11,958.92 and 4,071.92 is: 6,109.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.80 : 11,958.92 = 4,071.92 : x
  2. Step 2: Convert to fraction form
    7,970.80/11,958.92 = 4,071.92/x
  3. Step 3: Cross multiply
    7,970.80x = 11,958.92 × 4,071.92
  4. Step 4: Simplify right side
    7,970.80x = 48,695,765.53
  5. Step 5: Solve for x
    x = 48,695,765.53/7,970.80
  6. Step 6: Final answer
    x = 6,109.27

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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.