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Finding the Fourth Proportional to 1,766, 2,434.68 and 1,241.12

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Solution

The fourth proportional to 1,766, 2,434.68 and 1,241.12 is: 1,711.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766 : 2,434.68 = 1,241.12 : x
  2. Step 2: Convert to fraction form
    1,766/2,434.68 = 1,241.12/x
  3. Step 3: Cross multiply
    1,766x = 2,434.68 × 1,241.12
  4. Step 4: Simplify right side
    1,766x = 3,021,730.04
  5. Step 5: Solve for x
    x = 3,021,730.04/1,766
  6. Step 6: Final answer
    x = 1,711.06

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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.