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Finding the Fourth Proportional to 13,978.13, 20,939.51 and 9,051.23

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Solution

The fourth proportional to 13,978.13, 20,939.51 and 9,051.23 is: 13,558.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.13 : 20,939.51 = 9,051.23 : x
  2. Step 2: Convert to fraction form
    13,978.13/20,939.51 = 9,051.23/x
  3. Step 3: Cross multiply
    13,978.13x = 20,939.51 × 9,051.23
  4. Step 4: Simplify right side
    13,978.13x = 189,528,171.14
  5. Step 5: Solve for x
    x = 189,528,171.14/13,978.13
  6. Step 6: Final answer
    x = 13,558.91

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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.