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Finding the Fourth Proportional to 12,643.92, 18,966.12 and 3,410.16

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Solution

The fourth proportional to 12,643.92, 18,966.12 and 3,410.16 is: 5,115.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.92 : 18,966.12 = 3,410.16 : x
  2. Step 2: Convert to fraction form
    12,643.92/18,966.12 = 3,410.16/x
  3. Step 3: Cross multiply
    12,643.92x = 18,966.12 × 3,410.16
  4. Step 4: Simplify right side
    12,643.92x = 64,677,503.78
  5. Step 5: Solve for x
    x = 64,677,503.78/12,643.92
  6. Step 6: Final answer
    x = 5,115.30

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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.