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Finding the Fourth Proportional to 1,241.55, 1,711.32 and 1,142.21

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Solution

The fourth proportional to 1,241.55, 1,711.32 and 1,142.21 is: 1,574.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.55 : 1,711.32 = 1,142.21 : x
  2. Step 2: Convert to fraction form
    1,241.55/1,711.32 = 1,142.21/x
  3. Step 3: Cross multiply
    1,241.55x = 1,711.32 × 1,142.21
  4. Step 4: Simplify right side
    1,241.55x = 1,954,678.26
  5. Step 5: Solve for x
    x = 1,954,678.26/1,241.55
  6. Step 6: Final answer
    x = 1,574.39

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1.5x scale

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.