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Finding the Fourth Proportional to 11,871.52, 17,809.36 and 5,297.60

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Solution

The fourth proportional to 11,871.52, 17,809.36 and 5,297.60 is: 7,947.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.52 : 17,809.36 = 5,297.60 : x
  2. Step 2: Convert to fraction form
    11,871.52/17,809.36 = 5,297.60/x
  3. Step 3: Cross multiply
    11,871.52x = 17,809.36 × 5,297.60
  4. Step 4: Simplify right side
    11,871.52x = 94,346,865.54
  5. Step 5: Solve for x
    x = 94,346,865.54/11,871.52
  6. Step 6: Final answer
    x = 7,947.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.