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Finding the Fourth Proportional to 3,062.88, 4,588.56 and 1,692

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Solution

The fourth proportional to 3,062.88, 4,588.56 and 1,692 is: 2,534.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,062.88 : 4,588.56 = 1,692 : x
  2. Step 2: Convert to fraction form
    3,062.88/4,588.56 = 1,692/x
  3. Step 3: Cross multiply
    3,062.88x = 4,588.56 × 1,692
  4. Step 4: Simplify right side
    3,062.88x = 7,763,843.52
  5. Step 5: Solve for x
    x = 7,763,843.52/3,062.88
  6. Step 6: Final answer
    x = 2,534.82

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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.