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Finding the Fourth Proportional to 14,643.63, 21,961.17 and 8,402.58

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Solution

The fourth proportional to 14,643.63, 21,961.17 and 8,402.58 is: 12,601.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,643.63 : 21,961.17 = 8,402.58 : x
  2. Step 2: Convert to fraction form
    14,643.63/21,961.17 = 8,402.58/x
  3. Step 3: Cross multiply
    14,643.63x = 21,961.17 × 8,402.58
  4. Step 4: Simplify right side
    14,643.63x = 184,530,487.82
  5. Step 5: Solve for x
    x = 184,530,487.82/14,643.63
  6. Step 6: Final answer
    x = 12,601.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.