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Finding the Fourth Proportional to 9,489, 13,093.82 and 5,509.33

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Solution

The fourth proportional to 9,489, 13,093.82 and 5,509.33 is: 7,602.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489 : 13,093.82 = 5,509.33 : x
  2. Step 2: Convert to fraction form
    9,489/13,093.82 = 5,509.33/x
  3. Step 3: Cross multiply
    9,489x = 13,093.82 × 5,509.33
  4. Step 4: Simplify right side
    9,489x = 72,138,175.34
  5. Step 5: Solve for x
    x = 72,138,175.34/9,489
  6. Step 6: Final answer
    x = 7,602.29

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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.