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Finding the Fourth Proportional to 13,714.61, 20,571.90 and 3,853.67

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Solution

The fourth proportional to 13,714.61, 20,571.90 and 3,853.67 is: 5,780.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.61 : 20,571.90 = 3,853.67 : x
  2. Step 2: Convert to fraction form
    13,714.61/20,571.90 = 3,853.67/x
  3. Step 3: Cross multiply
    13,714.61x = 20,571.90 × 3,853.67
  4. Step 4: Simplify right side
    13,714.61x = 79,277,211.01
  5. Step 5: Solve for x
    x = 79,277,211.01/13,714.61
  6. Step 6: Final answer
    x = 5,780.50

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Similar ratio
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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.