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Finding the Fourth Proportional to 14,086, 21,136.29 and 7,160.50

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Solution

The fourth proportional to 14,086, 21,136.29 and 7,160.50 is: 10,744.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,086 : 21,136.29 = 7,160.50 : x
  2. Step 2: Convert to fraction form
    14,086/21,136.29 = 7,160.50/x
  3. Step 3: Cross multiply
    14,086x = 21,136.29 × 7,160.50
  4. Step 4: Simplify right side
    14,086x = 151,346,404.55
  5. Step 5: Solve for x
    x = 151,346,404.55/14,086
  6. Step 6: Final answer
    x = 10,744.46

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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.