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Finding the Fourth Proportional to 13,122, 19,683 and 8,750.73

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Solution

The fourth proportional to 13,122, 19,683 and 8,750.73 is: 13,126.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,122 : 19,683 = 8,750.73 : x
  2. Step 2: Convert to fraction form
    13,122/19,683 = 8,750.73/x
  3. Step 3: Cross multiply
    13,122x = 19,683 × 8,750.73
  4. Step 4: Simplify right side
    13,122x = 172,240,692.40
  5. Step 5: Solve for x
    x = 172,240,692.40/13,122
  6. Step 6: Final answer
    x = 13,126.10

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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.