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Finding the Fourth Proportional to 13,137.99, 19,701.06 and 3,775.87

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Solution

The fourth proportional to 13,137.99, 19,701.06 and 3,775.87 is: 5,662.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,137.99 : 19,701.06 = 3,775.87 : x
  2. Step 2: Convert to fraction form
    13,137.99/19,701.06 = 3,775.87/x
  3. Step 3: Cross multiply
    13,137.99x = 19,701.06 × 3,775.87
  4. Step 4: Simplify right side
    13,137.99x = 74,388,641.42
  5. Step 5: Solve for x
    x = 74,388,641.42/13,137.99
  6. Step 6: Final answer
    x = 5,662.10

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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.