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Finding the Fourth Proportional to 21,978.41, 32,979.42 and 14,586.35

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Solution

The fourth proportional to 21,978.41, 32,979.42 and 14,586.35 is: 21,887.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,978.41 : 32,979.42 = 14,586.35 : x
  2. Step 2: Convert to fraction form
    21,978.41/32,979.42 = 14,586.35/x
  3. Step 3: Cross multiply
    21,978.41x = 32,979.42 × 14,586.35
  4. Step 4: Simplify right side
    21,978.41x = 481,049,198.02
  5. Step 5: Solve for x
    x = 481,049,198.02/21,978.41
  6. Step 6: Final answer
    x = 21,887.36

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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.