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Finding the Fourth Proportional to 8,632.36, 11,920.13 and 8,189.50

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Solution

The fourth proportional to 8,632.36, 11,920.13 and 8,189.50 is: 11,308.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,632.36 : 11,920.13 = 8,189.50 : x
  2. Step 2: Convert to fraction form
    8,632.36/11,920.13 = 8,189.50/x
  3. Step 3: Cross multiply
    8,632.36x = 11,920.13 × 8,189.50
  4. Step 4: Simplify right side
    8,632.36x = 97,619,904.64
  5. Step 5: Solve for x
    x = 97,619,904.64/8,632.36
  6. Step 6: Final answer
    x = 11,308.60

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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.