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Finding the Fourth Proportional to 14,553.96, 21,840.50 and 7,984.76

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Solution

The fourth proportional to 14,553.96, 21,840.50 and 7,984.76 is: 11,982.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,553.96 : 21,840.50 = 7,984.76 : x
  2. Step 2: Convert to fraction form
    14,553.96/21,840.50 = 7,984.76/x
  3. Step 3: Cross multiply
    14,553.96x = 21,840.50 × 7,984.76
  4. Step 4: Simplify right side
    14,553.96x = 174,391,150.78
  5. Step 5: Solve for x
    x = 174,391,150.78/14,553.96
  6. Step 6: Final answer
    x = 11,982.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.