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Finding the Fourth Proportional to 13,135, 19,696.56 and 3,772.87

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Solution

The fourth proportional to 13,135, 19,696.56 and 3,772.87 is: 5,657.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,135 : 19,696.56 = 3,772.87 : x
  2. Step 2: Convert to fraction form
    13,135/19,696.56 = 3,772.87/x
  3. Step 3: Cross multiply
    13,135x = 19,696.56 × 3,772.87
  4. Step 4: Simplify right side
    13,135x = 74,312,560.33
  5. Step 5: Solve for x
    x = 74,312,560.33/13,135
  6. Step 6: Final answer
    x = 5,657.60

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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.