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Finding the Fourth Proportional to 9,558, 13,196.40 and 7,331.49

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Solution

The fourth proportional to 9,558, 13,196.40 and 7,331.49 is: 10,122.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,558 : 13,196.40 = 7,331.49 : x
  2. Step 2: Convert to fraction form
    9,558/13,196.40 = 7,331.49/x
  3. Step 3: Cross multiply
    9,558x = 13,196.40 × 7,331.49
  4. Step 4: Simplify right side
    9,558x = 96,749,274.64
  5. Step 5: Solve for x
    x = 96,749,274.64/9,558
  6. Step 6: Final answer
    x = 10,122.33

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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.