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Finding the Fourth Proportional to 13,872.93, 20,800.89 and 6,478.98

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Solution

The fourth proportional to 13,872.93, 20,800.89 and 6,478.98 is: 9,714.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.93 : 20,800.89 = 6,478.98 : x
  2. Step 2: Convert to fraction form
    13,872.93/20,800.89 = 6,478.98/x
  3. Step 3: Cross multiply
    13,872.93x = 20,800.89 × 6,478.98
  4. Step 4: Simplify right side
    13,872.93x = 134,768,550.29
  5. Step 5: Solve for x
    x = 134,768,550.29/13,872.93
  6. Step 6: Final answer
    x = 9,714.50

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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.