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Finding the Fourth Proportional to 5,175.46, 7,141.84 and 2,817.46

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Solution

The fourth proportional to 5,175.46, 7,141.84 and 2,817.46 is: 3,887.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.46 : 7,141.84 = 2,817.46 : x
  2. Step 2: Convert to fraction form
    5,175.46/7,141.84 = 2,817.46/x
  3. Step 3: Cross multiply
    5,175.46x = 7,141.84 × 2,817.46
  4. Step 4: Simplify right side
    5,175.46x = 20,121,848.53
  5. Step 5: Solve for x
    x = 20,121,848.53/5,175.46
  6. Step 6: Final answer
    x = 3,887.93

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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.