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Finding the Fourth Proportional to 6,456.64, 9,684.98 and 4,608.64

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Solution

The fourth proportional to 6,456.64, 9,684.98 and 4,608.64 is: 6,912.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.64 : 9,684.98 = 4,608.64 : x
  2. Step 2: Convert to fraction form
    6,456.64/9,684.98 = 4,608.64/x
  3. Step 3: Cross multiply
    6,456.64x = 9,684.98 × 4,608.64
  4. Step 4: Simplify right side
    6,456.64x = 44,634,586.23
  5. Step 5: Solve for x
    x = 44,634,586.23/6,456.64
  6. Step 6: Final answer
    x = 6,912.97

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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.