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Finding the Fourth Proportional to 14,004.09, 20,978.64 and 9,310.32

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Solution

The fourth proportional to 14,004.09, 20,978.64 and 9,310.32 is: 13,947.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,004.09 : 20,978.64 = 9,310.32 : x
  2. Step 2: Convert to fraction form
    14,004.09/20,978.64 = 9,310.32/x
  3. Step 3: Cross multiply
    14,004.09x = 20,978.64 × 9,310.32
  4. Step 4: Simplify right side
    14,004.09x = 195,317,851.56
  5. Step 5: Solve for x
    x = 195,317,851.56/14,004.09
  6. Step 6: Final answer
    x = 13,947.20

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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.