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Finding the Fourth Proportional to 1,761.89, 2,430 and 1,202.99

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Solution

The fourth proportional to 1,761.89, 2,430 and 1,202.99 is: 1,659.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.89 : 2,430 = 1,202.99 : x
  2. Step 2: Convert to fraction form
    1,761.89/2,430 = 1,202.99/x
  3. Step 3: Cross multiply
    1,761.89x = 2,430 × 1,202.99
  4. Step 4: Simplify right side
    1,761.89x = 2,923,265.70
  5. Step 5: Solve for x
    x = 2,923,265.70/1,761.89
  6. Step 6: Final answer
    x = 1,659.16

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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.