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Finding the Fourth Proportional to 12,646.05, 18,954.31 and 9,516

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Solution

The fourth proportional to 12,646.05, 18,954.31 and 9,516 is: 14,262.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.05 : 18,954.31 = 9,516 : x
  2. Step 2: Convert to fraction form
    12,646.05/18,954.31 = 9,516/x
  3. Step 3: Cross multiply
    12,646.05x = 18,954.31 × 9,516
  4. Step 4: Simplify right side
    12,646.05x = 180,369,208.01
  5. Step 5: Solve for x
    x = 180,369,208.01/12,646.05
  6. Step 6: Final answer
    x = 14,262.88

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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.