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Finding the Fourth Proportional to 18,783.72, 25,920.96 and 10,608

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Solution

The fourth proportional to 18,783.72, 25,920.96 and 10,608 is: 14,638.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,783.72 : 25,920.96 = 10,608 : x
  2. Step 2: Convert to fraction form
    18,783.72/25,920.96 = 10,608/x
  3. Step 3: Cross multiply
    18,783.72x = 25,920.96 × 10,608
  4. Step 4: Simplify right side
    18,783.72x = 274,969,543.68
  5. Step 5: Solve for x
    x = 274,969,543.68/18,783.72
  6. Step 6: Final answer
    x = 14,638.72

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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.