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Finding the Fourth Proportional to 8,684.01, 11,954.94 and 8,287.29

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Solution

The fourth proportional to 8,684.01, 11,954.94 and 8,287.29 is: 11,408.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,684.01 : 11,954.94 = 8,287.29 : x
  2. Step 2: Convert to fraction form
    8,684.01/11,954.94 = 8,287.29/x
  3. Step 3: Cross multiply
    8,684.01x = 11,954.94 × 8,287.29
  4. Step 4: Simplify right side
    8,684.01x = 99,074,054.71
  5. Step 5: Solve for x
    x = 99,074,054.71/8,684.01
  6. Step 6: Final answer
    x = 11,408.79

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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.