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Finding the Fourth Proportional to 12,409.65, 18,612.27 and 4,089.78

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Solution

The fourth proportional to 12,409.65, 18,612.27 and 4,089.78 is: 6,133.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.65 : 18,612.27 = 4,089.78 : x
  2. Step 2: Convert to fraction form
    12,409.65/18,612.27 = 4,089.78/x
  3. Step 3: Cross multiply
    12,409.65x = 18,612.27 × 4,089.78
  4. Step 4: Simplify right side
    12,409.65x = 76,120,089.60
  5. Step 5: Solve for x
    x = 76,120,089.60/12,409.65
  6. Step 6: Final answer
    x = 6,133.94

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1.5x scale

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.