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Finding the Fourth Proportional to 6,881.42, 10,322.13 and 1,687.25

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Solution

The fourth proportional to 6,881.42, 10,322.13 and 1,687.25 is: 2,530.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.42 : 10,322.13 = 1,687.25 : x
  2. Step 2: Convert to fraction form
    6,881.42/10,322.13 = 1,687.25/x
  3. Step 3: Cross multiply
    6,881.42x = 10,322.13 × 1,687.25
  4. Step 4: Simplify right side
    6,881.42x = 17,416,013.84
  5. Step 5: Solve for x
    x = 17,416,013.84/6,881.42
  6. Step 6: Final answer
    x = 2,530.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.