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Finding the Fourth Proportional to 14,007.24, 20,978.64 and 8,448.48

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Solution

The fourth proportional to 14,007.24, 20,978.64 and 8,448.48 is: 12,653.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,007.24 : 20,978.64 = 8,448.48 : x
  2. Step 2: Convert to fraction form
    14,007.24/20,978.64 = 8,448.48/x
  3. Step 3: Cross multiply
    14,007.24x = 20,978.64 × 8,448.48
  4. Step 4: Simplify right side
    14,007.24x = 177,237,620.47
  5. Step 5: Solve for x
    x = 177,237,620.47/14,007.24
  6. Step 6: Final answer
    x = 12,653.29

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1.5x scale

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.