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Finding the Fourth Proportional to 2,428.11, 3,636.90 and 1,503.90

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Solution

The fourth proportional to 2,428.11, 3,636.90 and 1,503.90 is: 2,252.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.11 : 3,636.90 = 1,503.90 : x
  2. Step 2: Convert to fraction form
    2,428.11/3,636.90 = 1,503.90/x
  3. Step 3: Cross multiply
    2,428.11x = 3,636.90 × 1,503.90
  4. Step 4: Simplify right side
    2,428.11x = 5,469,533.91
  5. Step 5: Solve for x
    x = 5,469,533.91/2,428.11
  6. Step 6: Final answer
    x = 2,252.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.