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Finding the Fourth Proportional to 6,489.54, 8,953.11 and 4,098.83

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Solution

The fourth proportional to 6,489.54, 8,953.11 and 4,098.83 is: 5,654.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.54 : 8,953.11 = 4,098.83 : x
  2. Step 2: Convert to fraction form
    6,489.54/8,953.11 = 4,098.83/x
  3. Step 3: Cross multiply
    6,489.54x = 8,953.11 × 4,098.83
  4. Step 4: Simplify right side
    6,489.54x = 36,697,231.10
  5. Step 5: Solve for x
    x = 36,697,231.10/6,489.54
  6. Step 6: Final answer
    x = 5,654.83

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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.