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Finding the Fourth Proportional to 14,004.80, 20,978.40 and 11,412.80

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Solution

The fourth proportional to 14,004.80, 20,978.40 and 11,412.80 is: 17,095.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,004.80 : 20,978.40 = 11,412.80 : x
  2. Step 2: Convert to fraction form
    14,004.80/20,978.40 = 11,412.80/x
  3. Step 3: Cross multiply
    14,004.80x = 20,978.40 × 11,412.80
  4. Step 4: Simplify right side
    14,004.80x = 239,422,283.52
  5. Step 5: Solve for x
    x = 239,422,283.52/14,004.80
  6. Step 6: Final answer
    x = 17,095.73

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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.