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Finding the Fourth Proportional to 12,765.50, 17,616 and 7,099.82

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Solution

The fourth proportional to 12,765.50, 17,616 and 7,099.82 is: 9,797.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.50 : 17,616 = 7,099.82 : x
  2. Step 2: Convert to fraction form
    12,765.50/17,616 = 7,099.82/x
  3. Step 3: Cross multiply
    12,765.50x = 17,616 × 7,099.82
  4. Step 4: Simplify right side
    12,765.50x = 125,070,429.12
  5. Step 5: Solve for x
    x = 125,070,429.12/12,765.50
  6. Step 6: Final answer
    x = 9,797.53

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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.