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Finding the Fourth Proportional to 13,912, 20,873.12 and 6,518.86

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Solution

The fourth proportional to 13,912, 20,873.12 and 6,518.86 is: 9,780.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,912 : 20,873.12 = 6,518.86 : x
  2. Step 2: Convert to fraction form
    13,912/20,873.12 = 6,518.86/x
  3. Step 3: Cross multiply
    13,912x = 20,873.12 × 6,518.86
  4. Step 4: Simplify right side
    13,912x = 136,068,947.04
  5. Step 5: Solve for x
    x = 136,068,947.04/13,912
  6. Step 6: Final answer
    x = 9,780.69

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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.