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Finding the Fourth Proportional to 11,761.58, 17,642.40 and 5,187.80

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Solution

The fourth proportional to 11,761.58, 17,642.40 and 5,187.80 is: 7,781.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.58 : 17,642.40 = 5,187.80 : x
  2. Step 2: Convert to fraction form
    11,761.58/17,642.40 = 5,187.80/x
  3. Step 3: Cross multiply
    11,761.58x = 17,642.40 × 5,187.80
  4. Step 4: Simplify right side
    11,761.58x = 91,525,242.72
  5. Step 5: Solve for x
    x = 91,525,242.72/11,761.58
  6. Step 6: Final answer
    x = 7,781.71

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1.5x scale

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.