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Finding the Fourth Proportional to 21,025, 29,014.50 and 11,593.81

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Solution

The fourth proportional to 21,025, 29,014.50 and 11,593.81 is: 15,999.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,025 : 29,014.50 = 11,593.81 : x
  2. Step 2: Convert to fraction form
    21,025/29,014.50 = 11,593.81/x
  3. Step 3: Cross multiply
    21,025x = 29,014.50 × 11,593.81
  4. Step 4: Simplify right side
    21,025x = 336,388,600.25
  5. Step 5: Solve for x
    x = 336,388,600.25/21,025
  6. Step 6: Final answer
    x = 15,999.46

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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.