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Finding the Fourth Proportional to 14,808.14, 20,435.23 and 8,435.32

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Solution

The fourth proportional to 14,808.14, 20,435.23 and 8,435.32 is: 11,640.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,808.14 : 20,435.23 = 8,435.32 : x
  2. Step 2: Convert to fraction form
    14,808.14/20,435.23 = 8,435.32/x
  3. Step 3: Cross multiply
    14,808.14x = 20,435.23 × 8,435.32
  4. Step 4: Simplify right side
    14,808.14x = 172,377,662.15
  5. Step 5: Solve for x
    x = 172,377,662.15/14,808.14
  6. Step 6: Final answer
    x = 11,640.74

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Why These Related Problems?

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