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Finding the Fourth Proportional to 6,489.20, 8,949.58 and 5,485.80

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Solution

The fourth proportional to 6,489.20, 8,949.58 and 5,485.80 is: 7,565.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.20 : 8,949.58 = 5,485.80 : x
  2. Step 2: Convert to fraction form
    6,489.20/8,949.58 = 5,485.80/x
  3. Step 3: Cross multiply
    6,489.20x = 8,949.58 × 5,485.80
  4. Step 4: Simplify right side
    6,489.20x = 49,095,605.96
  5. Step 5: Solve for x
    x = 49,095,605.96/6,489.20
  6. Step 6: Final answer
    x = 7,565.74

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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.