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Finding the Fourth Proportional to 3,400.97, 5,100.77 and 1,060.59

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Solution

The fourth proportional to 3,400.97, 5,100.77 and 1,060.59 is: 1,590.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.97 : 5,100.77 = 1,060.59 : x
  2. Step 2: Convert to fraction form
    3,400.97/5,100.77 = 1,060.59/x
  3. Step 3: Cross multiply
    3,400.97x = 5,100.77 × 1,060.59
  4. Step 4: Simplify right side
    3,400.97x = 5,409,841.47
  5. Step 5: Solve for x
    x = 5,409,841.47/3,400.97
  6. Step 6: Final answer
    x = 1,590.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.