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Finding the Fourth Proportional to 11,726.64, 17,580.24 and 8,206.65

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Solution

The fourth proportional to 11,726.64, 17,580.24 and 8,206.65 is: 12,303.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,726.64 : 17,580.24 = 8,206.65 : x
  2. Step 2: Convert to fraction form
    11,726.64/17,580.24 = 8,206.65/x
  3. Step 3: Cross multiply
    11,726.64x = 17,580.24 × 8,206.65
  4. Step 4: Simplify right side
    11,726.64x = 144,274,876.60
  5. Step 5: Solve for x
    x = 144,274,876.60/11,726.64
  6. Step 6: Final answer
    x = 12,303.17

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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.