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Finding the Fourth Proportional to 2,971, 4,093.50 and 2,084.32

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Solution

The fourth proportional to 2,971, 4,093.50 and 2,084.32 is: 2,871.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971 : 4,093.50 = 2,084.32 : x
  2. Step 2: Convert to fraction form
    2,971/4,093.50 = 2,084.32/x
  3. Step 3: Cross multiply
    2,971x = 4,093.50 × 2,084.32
  4. Step 4: Simplify right side
    2,971x = 8,532,163.92
  5. Step 5: Solve for x
    x = 8,532,163.92/2,971
  6. Step 6: Final answer
    x = 2,871.82

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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.