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Finding the Fourth Proportional to 6,456.64, 9,684.96 and 4,512.64

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Solution

The fourth proportional to 6,456.64, 9,684.96 and 4,512.64 is: 6,768.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.64 : 9,684.96 = 4,512.64 : x
  2. Step 2: Convert to fraction form
    6,456.64/9,684.96 = 4,512.64/x
  3. Step 3: Cross multiply
    6,456.64x = 9,684.96 × 4,512.64
  4. Step 4: Simplify right side
    6,456.64x = 43,704,737.89
  5. Step 5: Solve for x
    x = 43,704,737.89/6,456.64
  6. Step 6: Final answer
    x = 6,768.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.