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Finding the Fourth Proportional to 1,635.41, 2,257.11 and 1,047.35

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Solution

The fourth proportional to 1,635.41, 2,257.11 and 1,047.35 is: 1,445.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.41 : 2,257.11 = 1,047.35 : x
  2. Step 2: Convert to fraction form
    1,635.41/2,257.11 = 1,047.35/x
  3. Step 3: Cross multiply
    1,635.41x = 2,257.11 × 1,047.35
  4. Step 4: Simplify right side
    1,635.41x = 2,363,972.87
  5. Step 5: Solve for x
    x = 2,363,972.87/1,635.41
  6. Step 6: Final answer
    x = 1,445.50

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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.