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Finding the Fourth Proportional to 6,478.96, 8,940.88 and 3,646.84

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Solution

The fourth proportional to 6,478.96, 8,940.88 and 3,646.84 is: 5,032.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.96 : 8,940.88 = 3,646.84 : x
  2. Step 2: Convert to fraction form
    6,478.96/8,940.88 = 3,646.84/x
  3. Step 3: Cross multiply
    6,478.96x = 8,940.88 × 3,646.84
  4. Step 4: Simplify right side
    6,478.96x = 32,605,958.82
  5. Step 5: Solve for x
    x = 32,605,958.82/6,478.96
  6. Step 6: Final answer
    x = 5,032.59

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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.