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Finding the Fourth Proportional to 13,800.56, 20,696.45 and 5,902.92

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Solution

The fourth proportional to 13,800.56, 20,696.45 and 5,902.92 is: 8,852.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,800.56 : 20,696.45 = 5,902.92 : x
  2. Step 2: Convert to fraction form
    13,800.56/20,696.45 = 5,902.92/x
  3. Step 3: Cross multiply
    13,800.56x = 20,696.45 × 5,902.92
  4. Step 4: Simplify right side
    13,800.56x = 122,169,459.12
  5. Step 5: Solve for x
    x = 122,169,459.12/13,800.56
  6. Step 6: Final answer
    x = 8,852.50

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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.