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Finding the Fourth Proportional to 12,837, 19,258.74 and 3,603

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Solution

The fourth proportional to 12,837, 19,258.74 and 3,603 is: 5,405.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,837 : 19,258.74 = 3,603 : x
  2. Step 2: Convert to fraction form
    12,837/19,258.74 = 3,603/x
  3. Step 3: Cross multiply
    12,837x = 19,258.74 × 3,603
  4. Step 4: Simplify right side
    12,837x = 69,389,240.22
  5. Step 5: Solve for x
    x = 69,389,240.22/12,837
  6. Step 6: Final answer
    x = 5,405.41

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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.