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Finding the Fourth Proportional to 9,836, 13,573.80 and 5,644.64

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Solution

The fourth proportional to 9,836, 13,573.80 and 5,644.64 is: 7,789.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836 : 13,573.80 = 5,644.64 : x
  2. Step 2: Convert to fraction form
    9,836/13,573.80 = 5,644.64/x
  3. Step 3: Cross multiply
    9,836x = 13,573.80 × 5,644.64
  4. Step 4: Simplify right side
    9,836x = 76,619,214.43
  5. Step 5: Solve for x
    x = 76,619,214.43/9,836
  6. Step 6: Final answer
    x = 7,789.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.