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Finding the Fourth Proportional to 7,978.01, 11,967.21 and 2,713.01

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Solution

The fourth proportional to 7,978.01, 11,967.21 and 2,713.01 is: 4,069.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.01 : 11,967.21 = 2,713.01 : x
  2. Step 2: Convert to fraction form
    7,978.01/11,967.21 = 2,713.01/x
  3. Step 3: Cross multiply
    7,978.01x = 11,967.21 × 2,713.01
  4. Step 4: Simplify right side
    7,978.01x = 32,467,100.57
  5. Step 5: Solve for x
    x = 32,467,100.57/7,978.01
  6. Step 6: Final answer
    x = 4,069.58

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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.