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Finding the Fourth Proportional to 19,636, 29,459.80 and 11,321.98

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Solution

The fourth proportional to 19,636, 29,459.80 and 11,321.98 is: 16,986.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,636 : 29,459.80 = 11,321.98 : x
  2. Step 2: Convert to fraction form
    19,636/29,459.80 = 11,321.98/x
  3. Step 3: Cross multiply
    19,636x = 29,459.80 × 11,321.98
  4. Step 4: Simplify right side
    19,636x = 333,543,266.40
  5. Step 5: Solve for x
    x = 333,543,266.40/19,636
  6. Step 6: Final answer
    x = 16,986.31

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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.