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Finding the Fourth Proportional to 13,616.92, 20,430.42 and 7,039

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Solution

The fourth proportional to 13,616.92, 20,430.42 and 7,039 is: 10,561.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,616.92 : 20,430.42 = 7,039 : x
  2. Step 2: Convert to fraction form
    13,616.92/20,430.42 = 7,039/x
  3. Step 3: Cross multiply
    13,616.92x = 20,430.42 × 7,039
  4. Step 4: Simplify right side
    13,616.92x = 143,809,726.38
  5. Step 5: Solve for x
    x = 143,809,726.38/13,616.92
  6. Step 6: Final answer
    x = 10,561.11

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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.