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Finding the Fourth Proportional to 6,500.80, 8,961.44 and 4,609.60

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Solution

The fourth proportional to 6,500.80, 8,961.44 and 4,609.60 is: 6,354.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.80 : 8,961.44 = 4,609.60 : x
  2. Step 2: Convert to fraction form
    6,500.80/8,961.44 = 4,609.60/x
  3. Step 3: Cross multiply
    6,500.80x = 8,961.44 × 4,609.60
  4. Step 4: Simplify right side
    6,500.80x = 41,308,653.82
  5. Step 5: Solve for x
    x = 41,308,653.82/6,500.80
  6. Step 6: Final answer
    x = 6,354.40

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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.