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Finding the Fourth Proportional to 2,173.88, 2,998.14 and 1,780.22

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Solution

The fourth proportional to 2,173.88, 2,998.14 and 1,780.22 is: 2,455.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.88 : 2,998.14 = 1,780.22 : x
  2. Step 2: Convert to fraction form
    2,173.88/2,998.14 = 1,780.22/x
  3. Step 3: Cross multiply
    2,173.88x = 2,998.14 × 1,780.22
  4. Step 4: Simplify right side
    2,173.88x = 5,337,348.79
  5. Step 5: Solve for x
    x = 5,337,348.79/2,173.88
  6. Step 6: Final answer
    x = 2,455.22

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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.