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Finding the Fourth Proportional to 11,545, 17,299.88 and 6,855.78

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Solution

The fourth proportional to 11,545, 17,299.88 and 6,855.78 is: 10,273.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,545 : 17,299.88 = 6,855.78 : x
  2. Step 2: Convert to fraction form
    11,545/17,299.88 = 6,855.78/x
  3. Step 3: Cross multiply
    11,545x = 17,299.88 × 6,855.78
  4. Step 4: Simplify right side
    11,545x = 118,604,171.31
  5. Step 5: Solve for x
    x = 118,604,171.31/11,545
  6. Step 6: Final answer
    x = 10,273.21

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1.5x scale

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.