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Finding the Fourth Proportional to 6,872.85, 9,478.28 and 5,812.84

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Solution

The fourth proportional to 6,872.85, 9,478.28 and 5,812.84 is: 8,016.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.85 : 9,478.28 = 5,812.84 : x
  2. Step 2: Convert to fraction form
    6,872.85/9,478.28 = 5,812.84/x
  3. Step 3: Cross multiply
    6,872.85x = 9,478.28 × 5,812.84
  4. Step 4: Simplify right side
    6,872.85x = 55,095,725.12
  5. Step 5: Solve for x
    x = 55,095,725.12/6,872.85
  6. Step 6: Final answer
    x = 8,016.43

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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.