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Finding the Fourth Proportional to 14,921.84, 20,592.20 and 8,208.16

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Solution

The fourth proportional to 14,921.84, 20,592.20 and 8,208.16 is: 11,327.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,921.84 : 20,592.20 = 8,208.16 : x
  2. Step 2: Convert to fraction form
    14,921.84/20,592.20 = 8,208.16/x
  3. Step 3: Cross multiply
    14,921.84x = 20,592.20 × 8,208.16
  4. Step 4: Simplify right side
    14,921.84x = 169,024,072.35
  5. Step 5: Solve for x
    x = 169,024,072.35/14,921.84
  6. Step 6: Final answer
    x = 11,327.29

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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.