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Finding the Fourth Proportional to 13,856, 20,776.32 and 6,056.96

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Solution

The fourth proportional to 13,856, 20,776.32 and 6,056.96 is: 9,082.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,856 : 20,776.32 = 6,056.96 : x
  2. Step 2: Convert to fraction form
    13,856/20,776.32 = 6,056.96/x
  3. Step 3: Cross multiply
    13,856x = 20,776.32 × 6,056.96
  4. Step 4: Simplify right side
    13,856x = 125,841,339.19
  5. Step 5: Solve for x
    x = 125,841,339.19/13,856
  6. Step 6: Final answer
    x = 9,082.08

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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.