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Finding the Fourth Proportional to 6,493.68, 8,960.70 and 3,840.57

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Solution

The fourth proportional to 6,493.68, 8,960.70 and 3,840.57 is: 5,299.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.68 : 8,960.70 = 3,840.57 : x
  2. Step 2: Convert to fraction form
    6,493.68/8,960.70 = 3,840.57/x
  3. Step 3: Cross multiply
    6,493.68x = 8,960.70 × 3,840.57
  4. Step 4: Simplify right side
    6,493.68x = 34,414,195.60
  5. Step 5: Solve for x
    x = 34,414,195.60/6,493.68
  6. Step 6: Final answer
    x = 5,299.64

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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.