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Finding the Fourth Proportional to 6,865.27, 9,473.70 and 3,880.93

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Solution

The fourth proportional to 6,865.27, 9,473.70 and 3,880.93 is: 5,355.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865.27 : 9,473.70 = 3,880.93 : x
  2. Step 2: Convert to fraction form
    6,865.27/9,473.70 = 3,880.93/x
  3. Step 3: Cross multiply
    6,865.27x = 9,473.70 × 3,880.93
  4. Step 4: Simplify right side
    6,865.27x = 36,766,742.86
  5. Step 5: Solve for x
    x = 36,766,742.86/6,865.27
  6. Step 6: Final answer
    x = 5,355.47

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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.