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Finding the Fourth Proportional to 14,218.68, 19,611 and 8,553

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Solution

The fourth proportional to 14,218.68, 19,611 and 8,553 is: 11,796.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,218.68 : 19,611 = 8,553 : x
  2. Step 2: Convert to fraction form
    14,218.68/19,611 = 8,553/x
  3. Step 3: Cross multiply
    14,218.68x = 19,611 × 8,553
  4. Step 4: Simplify right side
    14,218.68x = 167,732,883
  5. Step 5: Solve for x
    x = 167,732,883/14,218.68
  6. Step 6: Final answer
    x = 11,796.66

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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.