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Finding the Fourth Proportional to 11,975.64, 16,530.21 and 7,726.82

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Solution

The fourth proportional to 11,975.64, 16,530.21 and 7,726.82 is: 10,665.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,975.64 : 16,530.21 = 7,726.82 : x
  2. Step 2: Convert to fraction form
    11,975.64/16,530.21 = 7,726.82/x
  3. Step 3: Cross multiply
    11,975.64x = 16,530.21 × 7,726.82
  4. Step 4: Simplify right side
    11,975.64x = 127,725,874.58
  5. Step 5: Solve for x
    x = 127,725,874.58/11,975.64
  6. Step 6: Final answer
    x = 10,665.47

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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.