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Finding the Fourth Proportional to 12,465.64, 18,694.38 and 4,143.40

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Solution

The fourth proportional to 12,465.64, 18,694.38 and 4,143.40 is: 6,213.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465.64 : 18,694.38 = 4,143.40 : x
  2. Step 2: Convert to fraction form
    12,465.64/18,694.38 = 4,143.40/x
  3. Step 3: Cross multiply
    12,465.64x = 18,694.38 × 4,143.40
  4. Step 4: Simplify right side
    12,465.64x = 77,458,294.09
  5. Step 5: Solve for x
    x = 77,458,294.09/12,465.64
  6. Step 6: Final answer
    x = 6,213.74

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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.