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Finding the Fourth Proportional to 7,978.45, 11,972.46 and 3,048.47

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Solution

The fourth proportional to 7,978.45, 11,972.46 and 3,048.47 is: 4,574.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.45 : 11,972.46 = 3,048.47 : x
  2. Step 2: Convert to fraction form
    7,978.45/11,972.46 = 3,048.47/x
  3. Step 3: Cross multiply
    7,978.45x = 11,972.46 × 3,048.47
  4. Step 4: Simplify right side
    7,978.45x = 36,497,714.96
  5. Step 5: Solve for x
    x = 36,497,714.96/7,978.45
  6. Step 6: Final answer
    x = 4,574.54

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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.