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Finding the Fourth Proportional to 14,978, 20,669.64 and 8,354

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Solution

The fourth proportional to 14,978, 20,669.64 and 8,354 is: 11,528.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978 : 20,669.64 = 8,354 : x
  2. Step 2: Convert to fraction form
    14,978/20,669.64 = 8,354/x
  3. Step 3: Cross multiply
    14,978x = 20,669.64 × 8,354
  4. Step 4: Simplify right side
    14,978x = 172,674,172.56
  5. Step 5: Solve for x
    x = 172,674,172.56/14,978
  6. Step 6: Final answer
    x = 11,528.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.