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Finding the Fourth Proportional to 13,134, 19,695.06 and 3,771.87

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Solution

The fourth proportional to 13,134, 19,695.06 and 3,771.87 is: 5,656.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,134 : 19,695.06 = 3,771.87 : x
  2. Step 2: Convert to fraction form
    13,134/19,695.06 = 3,771.87/x
  3. Step 3: Cross multiply
    13,134x = 19,695.06 × 3,771.87
  4. Step 4: Simplify right side
    13,134x = 74,287,205.96
  5. Step 5: Solve for x
    x = 74,287,205.96/13,134
  6. Step 6: Final answer
    x = 5,656.10

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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.