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Finding the Fourth Proportional to 13,132, 19,703.76 and 7,660

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Solution

The fourth proportional to 13,132, 19,703.76 and 7,660 is: 11,493.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,132 : 19,703.76 = 7,660 : x
  2. Step 2: Convert to fraction form
    13,132/19,703.76 = 7,660/x
  3. Step 3: Cross multiply
    13,132x = 19,703.76 × 7,660
  4. Step 4: Simplify right side
    13,132x = 150,930,801.60
  5. Step 5: Solve for x
    x = 150,930,801.60/13,132
  6. Step 6: Final answer
    x = 11,493.36

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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.