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Finding the Fourth Proportional to 2,473.96, 3,415.78 and 1,635.40

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Solution

The fourth proportional to 2,473.96, 3,415.78 and 1,635.40 is: 2,257.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.96 : 3,415.78 = 1,635.40 : x
  2. Step 2: Convert to fraction form
    2,473.96/3,415.78 = 1,635.40/x
  3. Step 3: Cross multiply
    2,473.96x = 3,415.78 × 1,635.40
  4. Step 4: Simplify right side
    2,473.96x = 5,586,166.61
  5. Step 5: Solve for x
    x = 5,586,166.61/2,473.96
  6. Step 6: Final answer
    x = 2,257.99

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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.