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Finding the Fourth Proportional to 9,580, 13,221.16 and 5,388.56

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Solution

The fourth proportional to 9,580, 13,221.16 and 5,388.56 is: 7,436.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580 : 13,221.16 = 5,388.56 : x
  2. Step 2: Convert to fraction form
    9,580/13,221.16 = 5,388.56/x
  3. Step 3: Cross multiply
    9,580x = 13,221.16 × 5,388.56
  4. Step 4: Simplify right side
    9,580x = 71,243,013.93
  5. Step 5: Solve for x
    x = 71,243,013.93/9,580
  6. Step 6: Final answer
    x = 7,436.64

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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.