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Finding the Fourth Proportional to 8,494.77, 12,732.96 and 4,106.19

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Solution

The fourth proportional to 8,494.77, 12,732.96 and 4,106.19 is: 6,154.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.77 : 12,732.96 = 4,106.19 : x
  2. Step 2: Convert to fraction form
    8,494.77/12,732.96 = 4,106.19/x
  3. Step 3: Cross multiply
    8,494.77x = 12,732.96 × 4,106.19
  4. Step 4: Simplify right side
    8,494.77x = 52,283,953.02
  5. Step 5: Solve for x
    x = 52,283,953.02/8,494.77
  6. Step 6: Final answer
    x = 6,154.84

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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.