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Finding the Fourth Proportional to 6,402.46, 8,836.81 and 4,160.44

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Solution

The fourth proportional to 6,402.46, 8,836.81 and 4,160.44 is: 5,742.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.46 : 8,836.81 = 4,160.44 : x
  2. Step 2: Convert to fraction form
    6,402.46/8,836.81 = 4,160.44/x
  3. Step 3: Cross multiply
    6,402.46x = 8,836.81 × 4,160.44
  4. Step 4: Simplify right side
    6,402.46x = 36,765,030.14
  5. Step 5: Solve for x
    x = 36,765,030.14/6,402.46
  6. Step 6: Final answer
    x = 5,742.33

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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.