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Finding the Fourth Proportional to 13,883.76, 20,808 and 9,995.76

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Solution

The fourth proportional to 13,883.76, 20,808 and 9,995.76 is: 14,980.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,883.76 : 20,808 = 9,995.76 : x
  2. Step 2: Convert to fraction form
    13,883.76/20,808 = 9,995.76/x
  3. Step 3: Cross multiply
    13,883.76x = 20,808 × 9,995.76
  4. Step 4: Simplify right side
    13,883.76x = 207,991,774.08
  5. Step 5: Solve for x
    x = 207,991,774.08/13,883.76
  6. Step 6: Final answer
    x = 14,980.94

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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.