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Finding the Fourth Proportional to 13,134.72, 19,700.64 and 3,900

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Solution

The fourth proportional to 13,134.72, 19,700.64 and 3,900 is: 5,849.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,134.72 : 19,700.64 = 3,900 : x
  2. Step 2: Convert to fraction form
    13,134.72/19,700.64 = 3,900/x
  3. Step 3: Cross multiply
    13,134.72x = 19,700.64 × 3,900
  4. Step 4: Simplify right side
    13,134.72x = 76,832,496
  5. Step 5: Solve for x
    x = 76,832,496/13,134.72
  6. Step 6: Final answer
    x = 5,849.57

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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.