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Finding the Fourth Proportional to 14,829, 20,464.08 and 8,205

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Solution

The fourth proportional to 14,829, 20,464.08 and 8,205 is: 11,322.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,829 : 20,464.08 = 8,205 : x
  2. Step 2: Convert to fraction form
    14,829/20,464.08 = 8,205/x
  3. Step 3: Cross multiply
    14,829x = 20,464.08 × 8,205
  4. Step 4: Simplify right side
    14,829x = 167,907,776.40
  5. Step 5: Solve for x
    x = 167,907,776.40/14,829
  6. Step 6: Final answer
    x = 11,322.93

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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.