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Finding the Fourth Proportional to 13,719.93, 20,539.79 and 12,406.70

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Solution

The fourth proportional to 13,719.93, 20,539.79 and 12,406.70 is: 18,573.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,719.93 : 20,539.79 = 12,406.70 : x
  2. Step 2: Convert to fraction form
    13,719.93/20,539.79 = 12,406.70/x
  3. Step 3: Cross multiply
    13,719.93x = 20,539.79 × 12,406.70
  4. Step 4: Simplify right side
    13,719.93x = 254,830,847.86
  5. Step 5: Solve for x
    x = 254,830,847.86/13,719.93
  6. Step 6: Final answer
    x = 18,573.77

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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.