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Finding the Fourth Proportional to 11,761.66, 16,223.71 and 6,978.22

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Solution

The fourth proportional to 11,761.66, 16,223.71 and 6,978.22 is: 9,625.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.66 : 16,223.71 = 6,978.22 : x
  2. Step 2: Convert to fraction form
    11,761.66/16,223.71 = 6,978.22/x
  3. Step 3: Cross multiply
    11,761.66x = 16,223.71 × 6,978.22
  4. Step 4: Simplify right side
    11,761.66x = 113,212,501.59
  5. Step 5: Solve for x
    x = 113,212,501.59/11,761.66
  6. Step 6: Final answer
    x = 9,625.55

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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.