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Finding the Fourth Proportional to 8,992.36, 12,405 and 6,009.13

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Solution

The fourth proportional to 8,992.36, 12,405 and 6,009.13 is: 8,289.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,992.36 : 12,405 = 6,009.13 : x
  2. Step 2: Convert to fraction form
    8,992.36/12,405 = 6,009.13/x
  3. Step 3: Cross multiply
    8,992.36x = 12,405 × 6,009.13
  4. Step 4: Simplify right side
    8,992.36x = 74,543,257.65
  5. Step 5: Solve for x
    x = 74,543,257.65/8,992.36
  6. Step 6: Final answer
    x = 8,289.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.