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Finding the Fourth Proportional to 13,674.52, 20,511.78 and 7,827.06

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Solution

The fourth proportional to 13,674.52, 20,511.78 and 7,827.06 is: 11,740.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.52 : 20,511.78 = 7,827.06 : x
  2. Step 2: Convert to fraction form
    13,674.52/20,511.78 = 7,827.06/x
  3. Step 3: Cross multiply
    13,674.52x = 20,511.78 × 7,827.06
  4. Step 4: Simplify right side
    13,674.52x = 160,546,932.77
  5. Step 5: Solve for x
    x = 160,546,932.77/13,674.52
  6. Step 6: Final answer
    x = 11,740.59

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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.