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Finding the Fourth Proportional to 13,145.95, 19,709.01 and 6,814.01

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Solution

The fourth proportional to 13,145.95, 19,709.01 and 6,814.01 is: 10,215.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,145.95 : 19,709.01 = 6,814.01 : x
  2. Step 2: Convert to fraction form
    13,145.95/19,709.01 = 6,814.01/x
  3. Step 3: Cross multiply
    13,145.95x = 19,709.01 × 6,814.01
  4. Step 4: Simplify right side
    13,145.95x = 134,297,403.20
  5. Step 5: Solve for x
    x = 134,297,403.20/13,145.95
  6. Step 6: Final answer
    x = 10,215.88

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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.