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Finding the Fourth Proportional to 2,170, 2,995.26 and 1,285.74

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Solution

The fourth proportional to 2,170, 2,995.26 and 1,285.74 is: 1,774.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170 : 2,995.26 = 1,285.74 : x
  2. Step 2: Convert to fraction form
    2,170/2,995.26 = 1,285.74/x
  3. Step 3: Cross multiply
    2,170x = 2,995.26 × 1,285.74
  4. Step 4: Simplify right side
    2,170x = 3,851,125.59
  5. Step 5: Solve for x
    x = 3,851,125.59/2,170
  6. Step 6: Final answer
    x = 1,774.71

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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.