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Finding the Fourth Proportional to 11,623.65, 16,040.64 and 6,318.47

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Solution

The fourth proportional to 11,623.65, 16,040.64 and 6,318.47 is: 8,719.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,623.65 : 16,040.64 = 6,318.47 : x
  2. Step 2: Convert to fraction form
    11,623.65/16,040.64 = 6,318.47/x
  3. Step 3: Cross multiply
    11,623.65x = 16,040.64 × 6,318.47
  4. Step 4: Simplify right side
    11,623.65x = 101,352,302.62
  5. Step 5: Solve for x
    x = 101,352,302.62/11,623.65
  6. Step 6: Final answer
    x = 8,719.49

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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.