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Finding the Fourth Proportional to 12,468.63, 18,695.21 and 4,146.49

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Solution

The fourth proportional to 12,468.63, 18,695.21 and 4,146.49 is: 6,217.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,468.63 : 18,695.21 = 4,146.49 : x
  2. Step 2: Convert to fraction form
    12,468.63/18,695.21 = 4,146.49/x
  3. Step 3: Cross multiply
    12,468.63x = 18,695.21 × 4,146.49
  4. Step 4: Simplify right side
    12,468.63x = 77,519,503.95
  5. Step 5: Solve for x
    x = 77,519,503.95/12,468.63
  6. Step 6: Final answer
    x = 6,217.16

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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.