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Finding the Fourth Proportional to 8,669, 11,972.94 and 5,869.64

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Solution

The fourth proportional to 8,669, 11,972.94 and 5,869.64 is: 8,106.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,669 : 11,972.94 = 5,869.64 : x
  2. Step 2: Convert to fraction form
    8,669/11,972.94 = 5,869.64/x
  3. Step 3: Cross multiply
    8,669x = 11,972.94 × 5,869.64
  4. Step 4: Simplify right side
    8,669x = 70,276,847.54
  5. Step 5: Solve for x
    x = 70,276,847.54/8,669
  6. Step 6: Final answer
    x = 8,106.68

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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.