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Finding the Fourth Proportional to 13,190, 19,783.76 and 3,832.48

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Solution

The fourth proportional to 13,190, 19,783.76 and 3,832.48 is: 5,748.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,190 : 19,783.76 = 3,832.48 : x
  2. Step 2: Convert to fraction form
    13,190/19,783.76 = 3,832.48/x
  3. Step 3: Cross multiply
    13,190x = 19,783.76 × 3,832.48
  4. Step 4: Simplify right side
    13,190x = 75,820,864.52
  5. Step 5: Solve for x
    x = 75,820,864.52/13,190
  6. Step 6: Final answer
    x = 5,748.36

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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.