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Finding the Fourth Proportional to 6,864.64, 9,474.57 and 3,880.51

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Solution

The fourth proportional to 6,864.64, 9,474.57 and 3,880.51 is: 5,355.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.64 : 9,474.57 = 3,880.51 : x
  2. Step 2: Convert to fraction form
    6,864.64/9,474.57 = 3,880.51/x
  3. Step 3: Cross multiply
    6,864.64x = 9,474.57 × 3,880.51
  4. Step 4: Simplify right side
    6,864.64x = 36,766,163.63
  5. Step 5: Solve for x
    x = 36,766,163.63/6,864.64
  6. Step 6: Final answer
    x = 5,355.88

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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.