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Finding the Fourth Proportional to 12,465.99, 18,699.14 and 3,581.61

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Solution

The fourth proportional to 12,465.99, 18,699.14 and 3,581.61 is: 5,372.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465.99 : 18,699.14 = 3,581.61 : x
  2. Step 2: Convert to fraction form
    12,465.99/18,699.14 = 3,581.61/x
  3. Step 3: Cross multiply
    12,465.99x = 18,699.14 × 3,581.61
  4. Step 4: Simplify right side
    12,465.99x = 66,973,026.82
  5. Step 5: Solve for x
    x = 66,973,026.82/12,465.99
  6. Step 6: Final answer
    x = 5,372.46

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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.