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Finding the Fourth Proportional to 6,412.68, 8,849.08 and 3,580.32

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Solution

The fourth proportional to 6,412.68, 8,849.08 and 3,580.32 is: 4,940.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.68 : 8,849.08 = 3,580.32 : x
  2. Step 2: Convert to fraction form
    6,412.68/8,849.08 = 3,580.32/x
  3. Step 3: Cross multiply
    6,412.68x = 8,849.08 × 3,580.32
  4. Step 4: Simplify right side
    6,412.68x = 31,682,538.11
  5. Step 5: Solve for x
    x = 31,682,538.11/6,412.68
  6. Step 6: Final answer
    x = 4,940.61

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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.