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Finding the Fourth Proportional to 6,311.68, 8,705.60 and 4,633.60

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Solution

The fourth proportional to 6,311.68, 8,705.60 and 4,633.60 is: 6,391.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.68 : 8,705.60 = 4,633.60 : x
  2. Step 2: Convert to fraction form
    6,311.68/8,705.60 = 4,633.60/x
  3. Step 3: Cross multiply
    6,311.68x = 8,705.60 × 4,633.60
  4. Step 4: Simplify right side
    6,311.68x = 40,338,268.16
  5. Step 5: Solve for x
    x = 40,338,268.16/6,311.68
  6. Step 6: Final answer
    x = 6,391.05

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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.