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Finding the Fourth Proportional to 23,978.10, 33,089.13 and 13,905.90

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Solution

The fourth proportional to 23,978.10, 33,089.13 and 13,905.90 is: 19,189.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,978.10 : 33,089.13 = 13,905.90 : x
  2. Step 2: Convert to fraction form
    23,978.10/33,089.13 = 13,905.90/x
  3. Step 3: Cross multiply
    23,978.10x = 33,089.13 × 13,905.90
  4. Step 4: Simplify right side
    23,978.10x = 460,134,132.87
  5. Step 5: Solve for x
    x = 460,134,132.87/23,978.10
  6. Step 6: Final answer
    x = 19,189.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.