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Finding the Fourth Proportional to 11,808, 17,715.45 and 4,410.76

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Solution

The fourth proportional to 11,808, 17,715.45 and 4,410.76 is: 6,617.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808 : 17,715.45 = 4,410.76 : x
  2. Step 2: Convert to fraction form
    11,808/17,715.45 = 4,410.76/x
  3. Step 3: Cross multiply
    11,808x = 17,715.45 × 4,410.76
  4. Step 4: Simplify right side
    11,808x = 78,138,598.24
  5. Step 5: Solve for x
    x = 78,138,598.24/11,808
  6. Step 6: Final answer
    x = 6,617.43

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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.