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Finding the Fourth Proportional to 13,285.95, 19,916.78 and 5,891.87

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Solution

The fourth proportional to 13,285.95, 19,916.78 and 5,891.87 is: 8,832.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,285.95 : 19,916.78 = 5,891.87 : x
  2. Step 2: Convert to fraction form
    13,285.95/19,916.78 = 5,891.87/x
  3. Step 3: Cross multiply
    13,285.95x = 19,916.78 × 5,891.87
  4. Step 4: Simplify right side
    13,285.95x = 117,346,949.54
  5. Step 5: Solve for x
    x = 117,346,949.54/13,285.95
  6. Step 6: Final answer
    x = 8,832.41

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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.