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Finding the Fourth Proportional to 7,978.44, 11,957.24 and 4,975.24

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Solution

The fourth proportional to 7,978.44, 11,957.24 and 4,975.24 is: 7,456.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.44 : 11,957.24 = 4,975.24 : x
  2. Step 2: Convert to fraction form
    7,978.44/11,957.24 = 4,975.24/x
  3. Step 3: Cross multiply
    7,978.44x = 11,957.24 × 4,975.24
  4. Step 4: Simplify right side
    7,978.44x = 59,490,138.74
  5. Step 5: Solve for x
    x = 59,490,138.74/7,978.44
  6. Step 6: Final answer
    x = 7,456.36

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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.