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Finding the Fourth Proportional to 3,085.98, 4,254.12 and 2,456.76

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Solution

The fourth proportional to 3,085.98, 4,254.12 and 2,456.76 is: 3,386.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.98 : 4,254.12 = 2,456.76 : x
  2. Step 2: Convert to fraction form
    3,085.98/4,254.12 = 2,456.76/x
  3. Step 3: Cross multiply
    3,085.98x = 4,254.12 × 2,456.76
  4. Step 4: Simplify right side
    3,085.98x = 10,451,351.85
  5. Step 5: Solve for x
    x = 10,451,351.85/3,085.98
  6. Step 6: Final answer
    x = 3,386.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.