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Finding the Fourth Proportional to 3,102, 4,282.74 and 2,157.45

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Solution

The fourth proportional to 3,102, 4,282.74 and 2,157.45 is: 2,978.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102 : 4,282.74 = 2,157.45 : x
  2. Step 2: Convert to fraction form
    3,102/4,282.74 = 2,157.45/x
  3. Step 3: Cross multiply
    3,102x = 4,282.74 × 2,157.45
  4. Step 4: Simplify right side
    3,102x = 9,239,797.41
  5. Step 5: Solve for x
    x = 9,239,797.41/3,102
  6. Step 6: Final answer
    x = 2,978.66

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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.