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Finding the Fourth Proportional to 13,409.80, 20,124.30 and 7,560.20

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Solution

The fourth proportional to 13,409.80, 20,124.30 and 7,560.20 is: 11,345.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.80 : 20,124.30 = 7,560.20 : x
  2. Step 2: Convert to fraction form
    13,409.80/20,124.30 = 7,560.20/x
  3. Step 3: Cross multiply
    13,409.80x = 20,124.30 × 7,560.20
  4. Step 4: Simplify right side
    13,409.80x = 152,143,732.86
  5. Step 5: Solve for x
    x = 152,143,732.86/13,409.80
  6. Step 6: Final answer
    x = 11,345.71

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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.