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Finding the Fourth Proportional to 1,232.42, 1,839.81 and 1,142.42

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Solution

The fourth proportional to 1,232.42, 1,839.81 and 1,142.42 is: 1,705.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.42 : 1,839.81 = 1,142.42 : x
  2. Step 2: Convert to fraction form
    1,232.42/1,839.81 = 1,142.42/x
  3. Step 3: Cross multiply
    1,232.42x = 1,839.81 × 1,142.42
  4. Step 4: Simplify right side
    1,232.42x = 2,101,830.03
  5. Step 5: Solve for x
    x = 2,101,830.03/1,232.42
  6. Step 6: Final answer
    x = 1,705.45

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1.5x scale

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.