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Finding the Fourth Proportional to 7,978.34, 11,967.92 and 3,048.42

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Solution

The fourth proportional to 7,978.34, 11,967.92 and 3,048.42 is: 4,572.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.34 : 11,967.92 = 3,048.42 : x
  2. Step 2: Convert to fraction form
    7,978.34/11,967.92 = 3,048.42/x
  3. Step 3: Cross multiply
    7,978.34x = 11,967.92 × 3,048.42
  4. Step 4: Simplify right side
    7,978.34x = 36,483,246.69
  5. Step 5: Solve for x
    x = 36,483,246.69/7,978.34
  6. Step 6: Final answer
    x = 4,572.79

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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.