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Finding the Fourth Proportional to 13,295.90, 19,905.45 and 8,111.90

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Solution

The fourth proportional to 13,295.90, 19,905.45 and 8,111.90 is: 12,144.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,295.90 : 19,905.45 = 8,111.90 : x
  2. Step 2: Convert to fraction form
    13,295.90/19,905.45 = 8,111.90/x
  3. Step 3: Cross multiply
    13,295.90x = 19,905.45 × 8,111.90
  4. Step 4: Simplify right side
    13,295.90x = 161,471,019.86
  5. Step 5: Solve for x
    x = 161,471,019.86/13,295.90
  6. Step 6: Final answer
    x = 12,144.42

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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.