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Finding the Fourth Proportional to 13,603.82, 20,412 and 6,210.54

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Solution

The fourth proportional to 13,603.82, 20,412 and 6,210.54 is: 9,318.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,603.82 : 20,412 = 6,210.54 : x
  2. Step 2: Convert to fraction form
    13,603.82/20,412 = 6,210.54/x
  3. Step 3: Cross multiply
    13,603.82x = 20,412 × 6,210.54
  4. Step 4: Simplify right side
    13,603.82x = 126,769,542.48
  5. Step 5: Solve for x
    x = 126,769,542.48/13,603.82
  6. Step 6: Final answer
    x = 9,318.68

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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.