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Finding the Fourth Proportional to 14,592.84, 20,138.21 and 8,305.21

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Solution

The fourth proportional to 14,592.84, 20,138.21 and 8,305.21 is: 11,461.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,592.84 : 20,138.21 = 8,305.21 : x
  2. Step 2: Convert to fraction form
    14,592.84/20,138.21 = 8,305.21/x
  3. Step 3: Cross multiply
    14,592.84x = 20,138.21 × 8,305.21
  4. Step 4: Simplify right side
    14,592.84x = 167,252,063.07
  5. Step 5: Solve for x
    x = 167,252,063.07/14,592.84
  6. Step 6: Final answer
    x = 11,461.24

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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.