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Finding the Fourth Proportional to 2,690.54, 3,713.12 and 1,511.60

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Solution

The fourth proportional to 2,690.54, 3,713.12 and 1,511.60 is: 2,086.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.54 : 3,713.12 = 1,511.60 : x
  2. Step 2: Convert to fraction form
    2,690.54/3,713.12 = 1,511.60/x
  3. Step 3: Cross multiply
    2,690.54x = 3,713.12 × 1,511.60
  4. Step 4: Simplify right side
    2,690.54x = 5,612,765.25
  5. Step 5: Solve for x
    x = 5,612,765.25/2,690.54
  6. Step 6: Final answer
    x = 2,086.11

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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.