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Finding the Fourth Proportional to 13,025, 19,538.04 and 3,791

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Solution

The fourth proportional to 13,025, 19,538.04 and 3,791 is: 5,686.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,025 : 19,538.04 = 3,791 : x
  2. Step 2: Convert to fraction form
    13,025/19,538.04 = 3,791/x
  3. Step 3: Cross multiply
    13,025x = 19,538.04 × 3,791
  4. Step 4: Simplify right side
    13,025x = 74,068,709.64
  5. Step 5: Solve for x
    x = 74,068,709.64/13,025
  6. Step 6: Final answer
    x = 5,686.66

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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.