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Finding the Fourth Proportional to 2,603, 3,903.39 and 1,508.12

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Solution

The fourth proportional to 2,603, 3,903.39 and 1,508.12 is: 2,261.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603 : 3,903.39 = 1,508.12 : x
  2. Step 2: Convert to fraction form
    2,603/3,903.39 = 1,508.12/x
  3. Step 3: Cross multiply
    2,603x = 3,903.39 × 1,508.12
  4. Step 4: Simplify right side
    2,603x = 5,886,780.53
  5. Step 5: Solve for x
    x = 5,886,780.53/2,603
  6. Step 6: Final answer
    x = 2,261.54

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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.