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Finding the Fourth Proportional to 13,896.64, 20,848.84 and 5,582.50

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Solution

The fourth proportional to 13,896.64, 20,848.84 and 5,582.50 is: 8,375.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,896.64 : 20,848.84 = 5,582.50 : x
  2. Step 2: Convert to fraction form
    13,896.64/20,848.84 = 5,582.50/x
  3. Step 3: Cross multiply
    13,896.64x = 20,848.84 × 5,582.50
  4. Step 4: Simplify right side
    13,896.64x = 116,388,545.06
  5. Step 5: Solve for x
    x = 116,388,545.06/13,896.64
  6. Step 6: Final answer
    x = 8,375.30

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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.