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Finding the Fourth Proportional to 8,005.71, 11,984.91 and 5,911.81

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Solution

The fourth proportional to 8,005.71, 11,984.91 and 5,911.81 is: 8,850.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.71 : 11,984.91 = 5,911.81 : x
  2. Step 2: Convert to fraction form
    8,005.71/11,984.91 = 5,911.81/x
  3. Step 3: Cross multiply
    8,005.71x = 11,984.91 × 5,911.81
  4. Step 4: Simplify right side
    8,005.71x = 70,852,525.62
  5. Step 5: Solve for x
    x = 70,852,525.62/8,005.71
  6. Step 6: Final answer
    x = 8,850.25

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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.