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Finding the Fourth Proportional to 1,892.12, 2,838.20 and 659.54

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Solution

The fourth proportional to 1,892.12, 2,838.20 and 659.54 is: 989.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.12 : 2,838.20 = 659.54 : x
  2. Step 2: Convert to fraction form
    1,892.12/2,838.20 = 659.54/x
  3. Step 3: Cross multiply
    1,892.12x = 2,838.20 × 659.54
  4. Step 4: Simplify right side
    1,892.12x = 1,871,904.53
  5. Step 5: Solve for x
    x = 1,871,904.53/1,892.12
  6. Step 6: Final answer
    x = 989.31

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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.