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Finding the Fourth Proportional to 13,978.12, 20,969.34 and 4,615.32

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Solution

The fourth proportional to 13,978.12, 20,969.34 and 4,615.32 is: 6,923.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.12 : 20,969.34 = 4,615.32 : x
  2. Step 2: Convert to fraction form
    13,978.12/20,969.34 = 4,615.32/x
  3. Step 3: Cross multiply
    13,978.12x = 20,969.34 × 4,615.32
  4. Step 4: Simplify right side
    13,978.12x = 96,780,214.29
  5. Step 5: Solve for x
    x = 96,780,214.29/13,978.12
  6. Step 6: Final answer
    x = 6,923.69

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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.