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Finding the Fourth Proportional to 13,986.86, 21,009.46 and 8,154.86

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Solution

The fourth proportional to 13,986.86, 21,009.46 and 8,154.86 is: 12,249.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,986.86 : 21,009.46 = 8,154.86 : x
  2. Step 2: Convert to fraction form
    13,986.86/21,009.46 = 8,154.86/x
  3. Step 3: Cross multiply
    13,986.86x = 21,009.46 × 8,154.86
  4. Step 4: Simplify right side
    13,986.86x = 171,329,204.98
  5. Step 5: Solve for x
    x = 171,329,204.98/13,986.86
  6. Step 6: Final answer
    x = 12,249.30

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1.5x scale

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.