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Finding the Fourth Proportional to 1,292.42, 1,922.04 and 1,251.41

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Solution

The fourth proportional to 1,292.42, 1,922.04 and 1,251.41 is: 1,861.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.42 : 1,922.04 = 1,251.41 : x
  2. Step 2: Convert to fraction form
    1,292.42/1,922.04 = 1,251.41/x
  3. Step 3: Cross multiply
    1,292.42x = 1,922.04 × 1,251.41
  4. Step 4: Simplify right side
    1,292.42x = 2,405,250.47
  5. Step 5: Solve for x
    x = 2,405,250.47/1,292.42
  6. Step 6: Final answer
    x = 1,861.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.