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Finding the Fourth Proportional to 12,402.99, 18,604.65 and 3,638.08

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Solution

The fourth proportional to 12,402.99, 18,604.65 and 3,638.08 is: 5,457.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,402.99 : 18,604.65 = 3,638.08 : x
  2. Step 2: Convert to fraction form
    12,402.99/18,604.65 = 3,638.08/x
  3. Step 3: Cross multiply
    12,402.99x = 18,604.65 × 3,638.08
  4. Step 4: Simplify right side
    12,402.99x = 67,685,241.97
  5. Step 5: Solve for x
    x = 67,685,241.97/12,402.99
  6. Step 6: Final answer
    x = 5,457.17

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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.