Home / 11,827-16,321.26-7,359.16

Finding the Fourth Proportional to 11,827, 16,321.26 and 7,359.16

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Solution

The fourth proportional to 11,827, 16,321.26 and 7,359.16 is: 10,155.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827 : 16,321.26 = 7,359.16 : x
  2. Step 2: Convert to fraction form
    11,827/16,321.26 = 7,359.16/x
  3. Step 3: Cross multiply
    11,827x = 16,321.26 × 7,359.16
  4. Step 4: Simplify right side
    11,827x = 120,110,763.74
  5. Step 5: Solve for x
    x = 120,110,763.74/11,827
  6. Step 6: Final answer
    x = 10,155.64

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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.