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Finding the Fourth Proportional to 13,710.56, 20,565.85 and 4,945.48

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Solution

The fourth proportional to 13,710.56, 20,565.85 and 4,945.48 is: 7,418.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.56 : 20,565.85 = 4,945.48 : x
  2. Step 2: Convert to fraction form
    13,710.56/20,565.85 = 4,945.48/x
  3. Step 3: Cross multiply
    13,710.56x = 20,565.85 × 4,945.48
  4. Step 4: Simplify right side
    13,710.56x = 101,707,892.88
  5. Step 5: Solve for x
    x = 101,707,892.88/13,710.56
  6. Step 6: Final answer
    x = 7,418.21

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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.