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Finding the Fourth Proportional to 8,447.61, 11,661.78 and 5,619.69

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Solution

The fourth proportional to 8,447.61, 11,661.78 and 5,619.69 is: 7,757.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447.61 : 11,661.78 = 5,619.69 : x
  2. Step 2: Convert to fraction form
    8,447.61/11,661.78 = 5,619.69/x
  3. Step 3: Cross multiply
    8,447.61x = 11,661.78 × 5,619.69
  4. Step 4: Simplify right side
    8,447.61x = 65,535,588.45
  5. Step 5: Solve for x
    x = 65,535,588.45/8,447.61
  6. Step 6: Final answer
    x = 7,757.89

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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.