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Finding the Fourth Proportional to 12,642.92, 18,964.62 and 3,409.16

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Solution

The fourth proportional to 12,642.92, 18,964.62 and 3,409.16 is: 5,113.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.92 : 18,964.62 = 3,409.16 : x
  2. Step 2: Convert to fraction form
    12,642.92/18,964.62 = 3,409.16/x
  3. Step 3: Cross multiply
    12,642.92x = 18,964.62 × 3,409.16
  4. Step 4: Simplify right side
    12,642.92x = 64,653,423.92
  5. Step 5: Solve for x
    x = 64,653,423.92/12,642.92
  6. Step 6: Final answer
    x = 5,113.80

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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.