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Finding the Fourth Proportional to 13,661.49, 20,483.19 and 5,342.31

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Solution

The fourth proportional to 13,661.49, 20,483.19 and 5,342.31 is: 8,009.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,661.49 : 20,483.19 = 5,342.31 : x
  2. Step 2: Convert to fraction form
    13,661.49/20,483.19 = 5,342.31/x
  3. Step 3: Cross multiply
    13,661.49x = 20,483.19 × 5,342.31
  4. Step 4: Simplify right side
    13,661.49x = 109,427,550.77
  5. Step 5: Solve for x
    x = 109,427,550.77/13,661.49
  6. Step 6: Final answer
    x = 8,009.93

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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.