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Finding the Fourth Proportional to 9,581.76, 13,220.64 and 5,388.48

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Solution

The fourth proportional to 9,581.76, 13,220.64 and 5,388.48 is: 7,434.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,581.76 : 13,220.64 = 5,388.48 : x
  2. Step 2: Convert to fraction form
    9,581.76/13,220.64 = 5,388.48/x
  3. Step 3: Cross multiply
    9,581.76x = 13,220.64 × 5,388.48
  4. Step 4: Simplify right side
    9,581.76x = 71,239,154.23
  5. Step 5: Solve for x
    x = 71,239,154.23/9,581.76
  6. Step 6: Final answer
    x = 7,434.87

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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.